LCM of 22 and also 30 is the the smallest number amongst all typical multiples that 22 and 30. The first couple of multiples of 22 and also 30 are (22, 44, 66, 88, 110, 132, . . . ) and also (30, 60, 90, 120, 150, . . . ) respectively. There space 3 generally used approaches to uncover LCM the 22 and 30 - by element factorization, by division method, and also by listing multiples.

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1.LCM that 22 and also 30
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 22 and also 30 is 330.

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Explanation:

The LCM of two non-zero integers, x(22) and y(30), is the smallest positive integer m(330) that is divisible by both x(22) and y(30) without any remainder.


Let's look at the different methods for finding the LCM the 22 and 30.

By Listing MultiplesBy department MethodBy element Factorization Method

LCM of 22 and 30 by Listing Multiples

To calculate the LCM of 22 and 30 through listing out the common multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples the 22 (22, 44, 66, 88, 110, 132, . . . ) and 30 (30, 60, 90, 120, 150, . . . . )Step 2: The usual multiples indigenous the multiples of 22 and also 30 room 330, 660, . . .Step 3: The smallest usual multiple of 22 and 30 is 330.

∴ The least common multiple the 22 and 30 = 330.

LCM of 22 and also 30 by division Method

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To calculation the LCM the 22 and 30 by the division method, we will divide the numbers(22, 30) by their prime determinants (preferably common). The product of this divisors gives the LCM the 22 and 30.

Step 3: continue the actions until only 1s room left in the last row.

The LCM that 22 and 30 is the product of every prime numbers on the left, i.e. LCM(22, 30) by division method = 2 × 3 × 5 × 11 = 330.

LCM the 22 and 30 by prime Factorization

Prime factorization of 22 and also 30 is (2 × 11) = 21 × 111 and also (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM that 22 and also 30 can be derived by multiplying prime factors raised to your respective highest possible power, i.e. 21 × 31 × 51 × 111 = 330.Hence, the LCM that 22 and 30 by element factorization is 330.

☛ additionally Check:


Example 3: Verify the relationship in between GCF and also LCM of 22 and 30.

Solution:

The relation between GCF and LCM the 22 and 30 is given as,LCM(22, 30) × GCF(22, 30) = Product of 22, 30Prime factorization of 22 and also 30 is provided as, 22 = (2 × 11) = 21 × 111 and also 30 = (2 × 3 × 5) = 21 × 31 × 51LCM(22, 30) = 330GCF(22, 30) = 2LHS = LCM(22, 30) × GCF(22, 30) = 330 × 2 = 660RHS = Product of 22, 30 = 22 × 30 = 660⇒ LHS = RHS = 660Hence, verified.


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FAQs top top LCM that 22 and also 30

What is the LCM of 22 and 30?

The LCM that 22 and also 30 is 330. To discover the LCM (least typical multiple) of 22 and 30, we require to uncover the multiples that 22 and also 30 (multiples of 22 = 22, 44, 66, 88 . . . . 330; multiples of 30 = 30, 60, 90, 120 . . . . 330) and choose the smallest multiple that is specifically divisible by 22 and also 30, i.e., 330.

What is the Relation between GCF and LCM that 22, 30?

The adhering to equation have the right to be offered to to express the relation in between GCF and also LCM that 22 and also 30, i.e. GCF × LCM = 22 × 30.

Which that the adhering to is the LCM the 22 and 30? 330, 16, 3, 24

The worth of LCM of 22, 30 is the smallest typical multiple the 22 and also 30. The number satisfying the given condition is 330.

What is the least Perfect Square Divisible by 22 and 30?

The the very least number divisible by 22 and also 30 = LCM(22, 30)LCM that 22 and also 30 = 2 × 3 × 5 × 11 ⇒ the very least perfect square divisible by each 22 and also 30 = LCM(22, 30) × 2 × 3 × 5 × 11 = 108900 Therefore, 108900 is the required number.

If the LCM that 30 and also 22 is 330, uncover its GCF.

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LCM(30, 22) × GCF(30, 22) = 30 × 22Since the LCM that 30 and 22 = 330⇒ 330 × GCF(30, 22) = 660Therefore, the greatest common factor (GCF) = 660/330 = 2.