LCM that 7 and also 10 is the smallest number among all typical multiples the 7 and 10. The first few multiples that 7 and also 10 room (7, 14, 21, 28, 35, 42, 49, . . . ) and also (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There room 3 commonly used methods to find LCM of 7 and 10 - through listing multiples, by division method, and by element factorization.

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1.LCM that 7 and also 10
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 7 and also 10 is 70.

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Explanation:

The LCM of 2 non-zero integers, x(7) and also y(10), is the smallest positive integer m(70) the is divisible by both x(7) and also y(10) without any remainder.


The methods to discover the LCM of 7 and 10 are described below.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM the 7 and 10 by prime Factorization

Prime administrate of 7 and also 10 is (7) = 71 and (2 × 5) = 21 × 51 respectively. LCM of 7 and 10 deserve to be acquired by multiplying prime components raised to your respective greatest power, i.e. 21 × 51 × 71 = 70.Hence, the LCM that 7 and also 10 by element factorization is 70.

LCM the 7 and also 10 by division Method

To calculation the LCM that 7 and also 10 through the department method, we will divide the numbers(7, 10) by their prime factors (preferably common). The product of this divisors provides the LCM of 7 and 10.

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

The LCM the 7 and also 10 is the product of all prime numbers on the left, i.e. LCM(7, 10) by division method = 2 × 5 × 7 = 70.

LCM of 7 and also 10 by Listing Multiples

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To calculation the LCM of 7 and 10 through listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples the 7 (7, 14, 21, 28, 35, 42, 49, . . . ) and also 10 (10, 20, 30, 40, 50, 60, 70, . . . . )Step 2: The common multiples native the multiples of 7 and also 10 space 70, 140, . . .Step 3: The smallest typical multiple of 7 and also 10 is 70.

∴ The least common multiple the 7 and 10 = 70.

☛ likewise Check:


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FAQs on LCM the 7 and 10

What is the LCM the 7 and 10?

The LCM that 7 and also 10 is 70. To find the LCM (least common multiple) that 7 and 10, we require to discover the multiples of 7 and 10 (multiples the 7 = 7, 14, 21, 28 . . . . 70; multiples that 10 = 10, 20, 30, 40 . . . . 70) and also choose the the smallest multiple that is precisely divisible by 7 and 10, i.e., 70.

How to discover the LCM that 7 and 10 by prime Factorization?

To find the LCM the 7 and 10 utilizing prime factorization, we will find the prime factors, (7 = 7) and (10 = 2 × 5). LCM the 7 and 10 is the product the prime components raised to your respective greatest exponent amongst the number 7 and also 10.⇒ LCM of 7, 10 = 21 × 51 × 71 = 70.

Which the the adhering to is the LCM that 7 and 10? 10, 70, 3, 11

The worth of LCM that 7, 10 is the smallest usual multiple that 7 and also 10. The number to solve the given condition is 70.

What is the Relation between GCF and LCM the 7, 10?

The adhering to equation can be supplied to express the relation between GCF and LCM the 7 and also 10, i.e. GCF × LCM = 7 × 10.

If the LCM the 10 and 7 is 70, find its GCF.

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LCM(10, 7) × GCF(10, 7) = 10 × 7Since the LCM the 10 and also 7 = 70⇒ 70 × GCF(10, 7) = 70Therefore, the GCF (greatest typical factor) = 70/70 = 1.