Least Common Multiple of 647/65, 874/13, 130/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 647/65, 874/13, 130/337 quickly i.e. 36756070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/65, 874/13, 130/337 is 36756070.

LCM(647/65, 874/13, 130/337) = 36756070

LCM of 647/65, 874/13, 130/337

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 647/65,874/13,130/337

Given numbers are 647/65,874/13,130/337

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 647,874,130

Least Common Multiple of Numerators i.e. LCM of 647,874,130 is 36756070.

GCF of Denominators means GCF of 65,13,337 as per the given fractions.

GCF of 65,13,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,874,130

LCM of Fractions 647/65,874/13,130/337 is 36756070

2 647, 874, 130
647, 437, 65

∴ So the LCM of the given numbers is 2 x 647 x 437 x 65 = 36756070

Least Common Multiple of 647,874,130 with GCF Formula

Least Common Multiple of 647,874,130 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 647,874,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,874,130) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(647,874,130) x common factors =1 x 2 = 2

LCM(647,874,130) = ( 647 × 874 × 130 ) / 2

LCM(647,874,130) = 73512140 / 2

LCM(647,874,130) = 36756070


Lets's calculate GCF of 65,13,337

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36756070/1

Therefore the LCM of Fractions 647/65,874/13,130/337 is 36756070

Greatest Common Factor of 65,13,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,13,337 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 65,13,337 . The biggest common factor number is the GCF number.
So the greatest common factor 65,13,337 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 647/65, 874/13, 130/337

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 647/65, 874/13, 130/337?

Answer: LCM of Numerators as per given numbers 647/65, 874/13, 130/337 is

LCM of Numerators i.e. for 647,874,130 is 36756070

GCF of denominators i.e. for 65,13,337 is 1.

Thus, LCM of Fractions is 36756070.Finally, LCM of Fractions for 647/65, 874/13, 130/337 is 36756070.