Least Common Multiple of 657/46, 128/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 657/46, 128/136 quickly i.e. 42048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/46, 128/136 is 42048.

LCM(657/46, 128/136) = 42048

LCM of 657/46, 128/136

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 657/46,128/136

Given numbers are 657/46,128/136

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 657,128

Least Common Multiple of Numerators i.e. LCM of 657,128 is 84096.

GCF of Denominators means GCF of 46,136 as per the given fractions.

GCF of 46,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,128

LCM of Fractions 657/46,128/136 is 42048

Given numbers has no common factors except 1. So, there LCM is their product i.e 84096

Least Common Multiple of 657,128 with GCF Formula

Least Common Multiple of 657,128 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 657,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,128) = 1

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

GCF(657,128) x common factors =1 x 1 = 1

LCM(657,128) = ( 657 × 128 ) / 1

LCM(657,128) = 84096 / 1

LCM(657,128) = 84096


Lets's calculate GCF of 46,136

2 46, 136
23, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84096/2

Therefore the LCM of Fractions 657/46,128/136 is 42048

Greatest Common Factor of 46,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,136 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 46,136 . The biggest common factor number is the GCF number.
So the greatest common factor 46,136 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 657/46, 128/136

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 657/46, 128/136?

Answer: LCM of Numerators as per given numbers 657/46, 128/136 is

LCM of Numerators i.e. for 657,128 is 84096

GCF of denominators i.e. for 46,136 is 2.

Thus, LCM of Fractions is 42048.Finally, LCM of Fractions for 657/46, 128/136 is 42048.