Least Common Multiple of 275/141, 509/545, 376/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/141, 509/545, 376/920 quickly i.e. 52630600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/141, 509/545, 376/920 is 52630600.

LCM(275/141, 509/545, 376/920) = 52630600

LCM of 275/141, 509/545, 376/920

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 275/141,509/545,376/920

Given numbers are 275/141,509/545,376/920

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 275,509,376

Least Common Multiple of Numerators i.e. LCM of 275,509,376 is 52630600.

GCF of Denominators means GCF of 141,545,920 as per the given fractions.

GCF of 141,545,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,509,376

LCM of Fractions 275/141,509/545,376/920 is 52630600

Given numbers has no common factors except 1. So, there LCM is their product i.e 52630600

Least Common Multiple of 275,509,376 with GCF Formula

Least Common Multiple of 275,509,376 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 275,509,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,509,376) = 1

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

GCF(275,509,376) x common factors =1 x 1 = 1

LCM(275,509,376) = ( 275 × 509 × 376 ) / 1

LCM(275,509,376) = 52630600 / 1

LCM(275,509,376) = 52630600


Lets's calculate GCF of 141,545,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52630600/1

Therefore the LCM of Fractions 275/141,509/545,376/920 is 52630600

Greatest Common Factor of 141,545,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,545,920 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 141,545,920 . The biggest common factor number is the GCF number.
So the greatest common factor 141,545,920 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 275/141, 509/545, 376/920

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 275/141, 509/545, 376/920?

Answer: LCM of Numerators as per given numbers 275/141, 509/545, 376/920 is

LCM of Numerators i.e. for 275,509,376 is 52630600

GCF of denominators i.e. for 141,545,920 is 1.

Thus, LCM of Fractions is 52630600.Finally, LCM of Fractions for 275/141, 509/545, 376/920 is 52630600.