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

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


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

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM the 5 and 7 by department Method

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

Step 3: proceed the procedures until just 1s room 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 through Listing Multiples

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To calculation the LCM that 5 and 7 through listing out the usual multiples, we can follow the given listed below steps:

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

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

LCM the 5 and also 7 by prime Factorization

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

☛ likewise Check:


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FAQs ~ above LCM of 5 and 7

What is the LCM the 5 and also 7?

The LCM the 5 and also 7 is 35. To find the LCM (least usual multiple) of 5 and also 7, we require to uncover the multiples the 5 and also 7 (multiples that 5 = 5, 10, 15, 20 . . . . 35; multiples the 7 = 7, 14, 21, 28 . . . . 35) and choose the smallest multiple the is specifically divisible through 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 of 7 and also 5 = 35⇒ 35 × GCF(7, 5) = 35Therefore, the greatest usual factor (GCF) = 35/35 = 1.

What room the approaches to uncover LCM that 5 and 7?

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

Division MethodPrime factorization MethodListing Multiples

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

The the very least number divisible by 5 and 7 = LCM(5, 7)LCM that 5 and 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 find the LCM of 5 and 7 by prime Factorization?

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