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

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

Answer: LCM of 5 and also 7 is 35.

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Explanation:

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


Let's look at the different methods for finding the LCM of 5 and 7.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM of 5 and also 7 by division Method

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

Step 3: continue the steps until just 1s are left in the last row.

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

LCM of 5 and 7 by Listing Multiples

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

Step 1: list a couple of multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )Step 2: The common multiples from the multiples of 5 and also 7 room 35, 70, . . .Step 3: The smallest common multiple the 5 and 7 is 35.

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

LCM the 5 and 7 by element Factorization

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

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FAQs on LCM that 5 and also 7

What is the LCM that 5 and 7?

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

If the LCM the 7 and also 5 is 35, find its GCF.

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

What space the methods to discover LCM that 5 and 7?

The typically used methods to discover the LCM of 5 and 7 are:

Division MethodPrime administrate MethodListing Multiples

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

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

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

To find the LCM the 5 and also 7 utilizing prime factorization, we will discover the prime factors, (5 = 5) and also (7 = 7). LCM of 5 and also 7 is the product that prime determinants raised to their respective highest exponent amongst the number 5 and 7.⇒ LCM the 5, 7 = 51 × 71 = 35.