LCM the 5 and 7 is the the smallest number among all usual multiples that 5 and also 7. The first few multiples the 5 and also 7 space (5, 10, 15, 20, 25, 30, 35, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There space 3 commonly used techniques to discover LCM of 5 and 7 - by department method, by element factorization, and by listing multiples.

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1.LCM the 5 and also 7
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 5 and 7 is 35.

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Explanation:

The LCM of two non-zero integers, x(5) and also y(7), is the smallest confident integer m(35) that is divisible by both x(5) and also y(7) without any type of remainder.


Let's look in ~ the different methods because that finding the LCM the 5 and also 7.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM that 5 and also 7 by division Method

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To calculate the LCM the 5 and also 7 by the division method, we will certainly divide the numbers(5, 7) by their prime factors (preferably common). The product of these divisors offers the LCM the 5 and 7.

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

The LCM of 5 and also 7 is the product of every prime number on the left, i.e. LCM(5, 7) by department method = 5 × 7 = 35.

LCM the 5 and also 7 by Listing Multiples

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To calculate the LCM of 5 and 7 by listing out the usual multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )Step 2: The usual multiples native the multiples that 5 and 7 are 35, 70, . . .Step 3: The smallest usual multiple of 5 and 7 is 35.

∴ The least common multiple the 5 and 7 = 35.

LCM the 5 and also 7 by prime Factorization

Prime administrate of 5 and 7 is (5) = 51 and (7) = 71 respectively. LCM of 5 and 7 deserve to be acquired by multiplying prime determinants raised to your respective greatest power, i.e. 51 × 71 = 35.Hence, the LCM that 5 and 7 by element factorization is 35.

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FAQs on LCM of 5 and 7

What is the LCM of 5 and 7?

The LCM that 5 and 7 is 35. To find the LCM (least usual multiple) that 5 and also 7, we need to find the multiples of 5 and 7 (multiples the 5 = 5, 10, 15, 20 . . . . 35; multiples that 7 = 7, 14, 21, 28 . . . . 35) and choose the the smallest multiple the is precisely divisible by 5 and 7, i.e., 35.

If the LCM that 7 and 5 is 35, uncover its GCF.

LCM(7, 5) × GCF(7, 5) = 7 × 5Since the LCM that 7 and 5 = 35⇒ 35 × GCF(7, 5) = 35Therefore, the greatest usual factor (GCF) = 35/35 = 1.

What room the approaches to find LCM of 5 and also 7?

The typically used approaches to uncover the LCM the 5 and 7 are:

Division MethodPrime administer MethodListing Multiples

What is the the very least Perfect Square Divisible through 5 and also 7?

The the very least number divisible through 5 and 7 = LCM(5, 7)LCM of 5 and also 7 = 5 × 7 ⇒ least perfect square divisible by each 5 and also 7 = LCM(5, 7) × 5 × 7 = 1225 Therefore, 1225 is the compelled number.

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How to discover the LCM the 5 and also 7 by element Factorization?

To uncover the LCM of 5 and 7 making use of prime factorization, we will discover the element factors, (5 = 5) and (7 = 7). LCM the 5 and also 7 is the product that prime determinants raised to your respective highest exponent among the numbers 5 and 7.⇒ LCM that 5, 7 = 51 × 71 = 35.