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

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

Answer: LCM the 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 optimistic integer m(35) that is divisible by both x(5) and y(7) without any kind of remainder.


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

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM of 5 and 7 by division Method

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To calculation the LCM the 5 and 7 by the department method, we will divide the numbers(5, 7) by your prime factors (preferably common). The product of this divisors gives the LCM that 5 and also 7.

Step 3: proceed the actions until only 1s are left in the critical row.

The LCM that 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 that 5 and 7 by Listing Multiples

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To calculation the LCM of 5 and 7 through listing out the typical multiples, we deserve to follow the given listed below steps:

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

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

LCM that 5 and 7 by prime Factorization

Prime administer of 5 and also 7 is (5) = 51 and (7) = 71 respectively. LCM of 5 and also 7 can be obtained by multiply prime determinants raised to your respective highest power, i.e. 51 × 71 = 35.Hence, the LCM that 5 and 7 by element factorization is 35.

☛ additionally Check:


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FAQs on LCM of 5 and 7

What is the LCM the 5 and also 7?

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

If the LCM the 7 and also 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 uncover LCM that 5 and also 7?

The typically used techniques to uncover the LCM of 5 and also 7 are:

Division MethodPrime factorization 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 the 5 and 7 = 5 × 7 ⇒ least perfect square divisible by every 5 and also 7 = LCM(5, 7) × 5 × 7 = 1225 Therefore, 1225 is the required number.

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

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