Least Common Multiple of 136/926, 2628/3664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 136/926, 2628/3664 quickly i.e. 44676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/926, 2628/3664 is 44676.

LCM(136/926, 2628/3664) = 44676

LCM of 136/926, 2628/3664

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 136/926,2628/3664

Given numbers are 136/926,2628/3664

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 136,2628

Least Common Multiple of Numerators i.e. LCM of 136,2628 is 89352.

GCF of Denominators means GCF of 926,3664 as per the given fractions.

GCF of 926,3664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,2628

LCM of Fractions 136/926,2628/3664 is 44676

2 136, 2628
2 68, 1314
34, 657

∴ So the LCM of the given numbers is 2 x 2 x 34 x 657 = 89352

Least Common Multiple of 136,2628 with GCF Formula

Least Common Multiple of 136,2628 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 136,2628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,2628) = 4

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

GCF(136,2628) x common factors =4 x 1 = 4

LCM(136,2628) = ( 136 × 2628 ) / 4

LCM(136,2628) = 357408 / 4

LCM(136,2628) = 89352


Lets's calculate GCF of 926,3664

2 926, 3664
463, 1832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89352/2

Therefore the LCM of Fractions 136/926,2628/3664 is 44676

Greatest Common Factor of 926,3664 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,3664 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors 926,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 926,3664 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 136/926, 2628/3664

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 136/926, 2628/3664?

Answer: LCM of Numerators as per given numbers 136/926, 2628/3664 is

LCM of Numerators i.e. for 136,2628 is 89352

GCF of denominators i.e. for 926,3664 is 2.

Thus, LCM of Fractions is 44676.Finally, LCM of Fractions for 136/926, 2628/3664 is 44676.