Least Common Multiple of 272/902, 694/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 272/902, 694/128 quickly i.e. 47192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/902, 694/128 is 47192.

LCM(272/902, 694/128) = 47192

LCM of 272/902, 694/128

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 272/902,694/128

Given numbers are 272/902,694/128

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 272,694

Least Common Multiple of Numerators i.e. LCM of 272,694 is 94384.

GCF of Denominators means GCF of 902,128 as per the given fractions.

GCF of 902,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,694

LCM of Fractions 272/902,694/128 is 47192

2 272, 694
136, 347

∴ So the LCM of the given numbers is 2 x 136 x 347 = 94384

Least Common Multiple of 272,694 with GCF Formula

Least Common Multiple of 272,694 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 272,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,694) = 2

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

GCF(272,694) x common factors =2 x 1 = 2

LCM(272,694) = ( 272 × 694 ) / 2

LCM(272,694) = 188768 / 2

LCM(272,694) = 94384


Lets's calculate GCF of 902,128

2 902, 128
451, 64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94384/2

Therefore the LCM of Fractions 272/902,694/128 is 47192

Greatest Common Factor of 902,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,128 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 902,128 . The biggest common factor number is the GCF number.
So the greatest common factor 902,128 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 272/902, 694/128

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 272/902, 694/128?

Answer: LCM of Numerators as per given numbers 272/902, 694/128 is

LCM of Numerators i.e. for 272,694 is 94384

GCF of denominators i.e. for 902,128 is 2.

Thus, LCM of Fractions is 47192.Finally, LCM of Fractions for 272/902, 694/128 is 47192.