Least Common Multiple of 32/270, 755/376, 377/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/270, 755/376, 377/601 quickly i.e. 9108320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/270, 755/376, 377/601 is 9108320.

LCM(32/270, 755/376, 377/601) = 9108320

LCM of 32/270, 755/376, 377/601

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 32/270,755/376,377/601

Given numbers are 32/270,755/376,377/601

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 32,755,377

Least Common Multiple of Numerators i.e. LCM of 32,755,377 is 9108320.

GCF of Denominators means GCF of 270,376,601 as per the given fractions.

GCF of 270,376,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,755,377

LCM of Fractions 32/270,755/376,377/601 is 9108320

Given numbers has no common factors except 1. So, there LCM is their product i.e 9108320

Least Common Multiple of 32,755,377 with GCF Formula

Least Common Multiple of 32,755,377 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 32,755,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,755,377) = 1

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

GCF(32,755,377) x common factors =1 x 1 = 1

LCM(32,755,377) = ( 32 × 755 × 377 ) / 1

LCM(32,755,377) = 9108320 / 1

LCM(32,755,377) = 9108320


Lets's calculate GCF of 270,376,601

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9108320/1

Therefore the LCM of Fractions 32/270,755/376,377/601 is 9108320

Greatest Common Factor of 270,376,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,376,601 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 270,376,601 . The biggest common factor number is the GCF number.
So the greatest common factor 270,376,601 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/270, 755/376, 377/601

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 32/270, 755/376, 377/601?

Answer: LCM of Numerators as per given numbers 32/270, 755/376, 377/601 is

LCM of Numerators i.e. for 32,755,377 is 9108320

GCF of denominators i.e. for 270,376,601 is 1.

Thus, LCM of Fractions is 9108320.Finally, LCM of Fractions for 32/270, 755/376, 377/601 is 9108320.