LCM that 7 and also 12 is the smallest number among all typical multiples of 7 and also 12. The first few multiples that 7 and also 12 room (7, 14, 21, 28, . . . ) and also (12, 24, 36, 48, 60, 72, 84, . . . ) respectively. There room 3 commonly used techniques to uncover LCM that 7 and 12 - by listing multiples, by department method, and also by prime factorization.

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1.LCM the 7 and also 12
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 7 and 12 is 84.

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Explanation:

The LCM of 2 non-zero integers, x(7) and y(12), is the smallest hopeful integer m(84) the is divisible by both x(7) and also y(12) without any kind of remainder.


Let's look in ~ the various methods for finding the LCM that 7 and also 12.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM of 7 and 12 by department Method

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To calculation the LCM that 7 and also 12 by the department method, we will divide the numbers(7, 12) by your prime determinants (preferably common). The product of this divisors provides the LCM of 7 and also 12.

Step 3: continue the measures until just 1s space left in the critical row.

The LCM of 7 and 12 is the product of all prime numbers on the left, i.e. LCM(7, 12) by division method = 2 × 2 × 3 × 7 = 84.

LCM of 7 and 12 by prime Factorization

Prime factorization of 7 and also 12 is (7) = 71 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 7 and also 12 have the right to be derived by multiply prime determinants raised to your respective highest possible power, i.e. 22 × 31 × 71 = 84.Hence, the LCM of 7 and 12 by element factorization is 84.

LCM of 7 and also 12 by Listing Multiples

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To calculation the LCM of 7 and also 12 through listing out the usual multiples, we deserve to follow the given below steps:

Step 1: list a few multiples of 7 (7, 14, 21, 28, . . . ) and also 12 (12, 24, 36, 48, 60, 72, 84, . . . . )Step 2: The usual multiples from the multiples of 7 and also 12 room 84, 168, . . .Step 3: The smallest typical multiple of 7 and 12 is 84.

∴ The least typical multiple that 7 and also 12 = 84.

☛ also Check:


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FAQs ~ above LCM of 7 and also 12

What is the LCM of 7 and also 12?

The LCM of 7 and also 12 is 84. To uncover the least usual multiple (LCM) the 7 and 12, we require to find the multiples of 7 and also 12 (multiples the 7 = 7, 14, 21, 28 . . . . 84; multiples that 12 = 12, 24, 36, 48 . . . . 84) and also choose the the smallest multiple that is specifically divisible by 7 and also 12, i.e., 84.

How to uncover the LCM of 7 and 12 by element Factorization?

To find the LCM the 7 and 12 using prime factorization, we will discover the element factors, (7 = 7) and also (12 = 2 × 2 × 3). LCM that 7 and 12 is the product of prime components raised to your respective highest exponent among the numbers 7 and also 12.⇒ LCM that 7, 12 = 22 × 31 × 71 = 84.

What is the Relation between GCF and LCM the 7, 12?

The following equation deserve to be offered to to express the relation between GCF and LCM the 7 and also 12, i.e. GCF × LCM = 7 × 12.

Which the the following is the LCM of 7 and also 12? 21, 12, 84, 42

The value of LCM the 7, 12 is the smallest common multiple of 7 and also 12. The number to solve the given problem is 84.

If the LCM of 12 and also 7 is 84, uncover its GCF.

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LCM(12, 7) × GCF(12, 7) = 12 × 7Since the LCM that 12 and 7 = 84⇒ 84 × GCF(12, 7) = 84Therefore, the GCF = 84/84 = 1.