Least Common Multiple of 136/358, 5649/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 136/358, 5649/537 quickly i.e. 768264/179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/358, 5649/537 is 768264/179.

LCM(136/358, 5649/537) = 768264/179

LCM of 136/358, 5649/537

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 136/358,5649/537

Given numbers are 136/358,5649/537

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 136,5649

Least Common Multiple of Numerators i.e. LCM of 136,5649 is 768264.

GCF of Denominators means GCF of 358,537 as per the given fractions.

GCF of 358,537 is 179 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,5649

LCM of Fractions 136/358,5649/537 is 768264/179

Given numbers has no common factors except 1. So, there LCM is their product i.e 768264

Least Common Multiple of 136,5649 with GCF Formula

Least Common Multiple of 136,5649 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 136,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,5649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(136,5649) x common factors =1 x 1 = 1

LCM(136,5649) = ( 136 × 5649 ) / 1

LCM(136,5649) = 768264 / 1

LCM(136,5649) = 768264


Lets's calculate GCF of 358,537

179 358, 537
2, 3

∴ So the GCF of the given numbers is 179 = 179

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768264/179

Therefore the LCM of Fractions 136/358,5649/537 is 768264/179

Greatest Common Factor of 358,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,537 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 358,537 . The biggest common factor number is the GCF number.
So the greatest common factor 358,537 is 179.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 136/358, 5649/537

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 136/358, 5649/537?

Answer: LCM of Numerators as per given numbers 136/358, 5649/537 is

LCM of Numerators i.e. for 136,5649 is 768264

GCF of denominators i.e. for 358,537 is 179.

Thus, LCM of Fractions is 768264/179.Finally, LCM of Fractions for 136/358, 5649/537 is 768264/179.