LCM the 7 and 12 is the the smallest number among all common multiples of 7 and also 12. The first few multiples the 7 and 12 room (7, 14, 21, 28, . . . ) and (12, 24, 36, 48, 60, 72, 84, . . . ) respectively. There space 3 generally used approaches to uncover LCM of 7 and 12 - by listing multiples, by division method, and also by element factorization.

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1.LCM of 7 and 12
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 7 and also 12 is 84.

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Explanation:

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


Let's look in ~ the different methods for finding the LCM of 7 and 12.

By division MethodBy prime Factorization MethodBy Listing Multiples

LCM of 7 and also 12 by department Method

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To calculation the LCM that 7 and also 12 through the department method, we will certainly divide the numbers(7, 12) by their prime components (preferably common). The product of these divisors offers the LCM the 7 and also 12.

Step 3: continue the steps until only 1s room left in the critical row.

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

LCM that 7 and 12 by element Factorization

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

LCM of 7 and also 12 through Listing Multiples

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To calculate the LCM of 7 and 12 by listing out the usual multiples, we can follow the given below steps:

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

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

☛ additionally Check:


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FAQs on LCM the 7 and also 12

What is the LCM that 7 and 12?

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

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

To find the LCM the 7 and 12 using prime factorization, us will uncover the element factors, (7 = 7) and also (12 = 2 × 2 × 3). LCM that 7 and 12 is the product of prime components raised to their respective greatest exponent amongst the number 7 and also 12.⇒ LCM that 7, 12 = 22 × 31 × 71 = 84.

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

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

Which that the complying with is the LCM the 7 and 12? 21, 12, 84, 42

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

If the LCM the 12 and also 7 is 84, find 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.