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

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

Answer: LCM of 5 and 7 is 35.

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Explanation:

The LCM of 2 non-zero integers, x(5) and also y(7), is the smallest optimistic integer m(35) the is divisible through both x(5) and y(7) without any kind of remainder.


Let's look at the various methods for finding the LCM that 5 and also 7.

By department MethodBy Listing MultiplesBy element Factorization Method

LCM the 5 and also 7 by division Method

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To calculate the LCM of 5 and 7 by the department method, we will certainly divide the numbers(5, 7) by their prime determinants (preferably common). The product of this divisors gives the LCM that 5 and 7.

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

The LCM the 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 7 through Listing Multiples

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To calculate the LCM that 5 and also 7 by listing the end the usual multiples, we have the right to follow the given below steps:

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

∴ The least typical multiple of 5 and 7 = 35.

LCM the 5 and also 7 by element Factorization

Prime factorization of 5 and also 7 is (5) = 51 and (7) = 71 respectively. LCM the 5 and 7 deserve to be obtained by multiplying prime factors raised to their respective highest power, i.e. 51 × 71 = 35.Hence, the LCM of 5 and 7 by element factorization is 35.

☛ likewise Check:


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FAQs on LCM the 5 and also 7

What is the LCM that 5 and also 7?

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

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

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

What space the techniques to find LCM of 5 and also 7?

The frequently used approaches to find the LCM that 5 and 7 are:

Division MethodPrime factorization MethodListing Multiples

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

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

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How to discover the LCM of 5 and 7 by prime Factorization?

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