Least Common Multiple of 136/354, 5631/1736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 136/354, 5631/1736 quickly i.e. 382908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/354, 5631/1736 is 382908.

LCM(136/354, 5631/1736) = 382908

LCM of 136/354, 5631/1736

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 136/354,5631/1736

Given numbers are 136/354,5631/1736

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 136,5631

Least Common Multiple of Numerators i.e. LCM of 136,5631 is 765816.

GCF of Denominators means GCF of 354,1736 as per the given fractions.

GCF of 354,1736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,5631

LCM of Fractions 136/354,5631/1736 is 382908

Given numbers has no common factors except 1. So, there LCM is their product i.e 765816

Least Common Multiple of 136,5631 with GCF Formula

Least Common Multiple of 136,5631 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 136,5631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,5631) = 1

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

GCF(136,5631) x common factors =1 x 1 = 1

LCM(136,5631) = ( 136 × 5631 ) / 1

LCM(136,5631) = 765816 / 1

LCM(136,5631) = 765816


Lets's calculate GCF of 354,1736

2 354, 1736
177, 868

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765816/2

Therefore the LCM of Fractions 136/354,5631/1736 is 382908

Greatest Common Factor of 354,1736 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,1736 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736

Greatest Common Factor

We found the factors 354,1736 . The biggest common factor number is the GCF number.
So the greatest common factor 354,1736 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 136/354, 5631/1736

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 136/354, 5631/1736?

Answer: LCM of Numerators as per given numbers 136/354, 5631/1736 is

LCM of Numerators i.e. for 136,5631 is 765816

GCF of denominators i.e. for 354,1736 is 2.

Thus, LCM of Fractions is 382908.Finally, LCM of Fractions for 136/354, 5631/1736 is 382908.