Least Common Multiple of 277/560, 7532/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/560, 7532/295 quickly i.e. 2086364/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/560, 7532/295 is 2086364/5.

LCM(277/560, 7532/295) = 2086364/5

LCM of 277/560, 7532/295

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 277/560,7532/295

Given numbers are 277/560,7532/295

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 277,7532

Least Common Multiple of Numerators i.e. LCM of 277,7532 is 2086364.

GCF of Denominators means GCF of 560,295 as per the given fractions.

GCF of 560,295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,7532

LCM of Fractions 277/560,7532/295 is 2086364/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2086364

Least Common Multiple of 277,7532 with GCF Formula

Least Common Multiple of 277,7532 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 277,7532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,7532) = 1

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

GCF(277,7532) x common factors =1 x 1 = 1

LCM(277,7532) = ( 277 × 7532 ) / 1

LCM(277,7532) = 2086364 / 1

LCM(277,7532) = 2086364


Lets's calculate GCF of 560,295

5 560, 295
112, 59

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2086364/5

Therefore the LCM of Fractions 277/560,7532/295 is 2086364/5

Greatest Common Factor of 560,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,295 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 560,295 . The biggest common factor number is the GCF number.
So the greatest common factor 560,295 is 5.


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 277/560, 7532/295

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 277/560, 7532/295?

Answer: LCM of Numerators as per given numbers 277/560, 7532/295 is

LCM of Numerators i.e. for 277,7532 is 2086364

GCF of denominators i.e. for 560,295 is 5.

Thus, LCM of Fractions is 2086364/5.Finally, LCM of Fractions for 277/560, 7532/295 is 2086364/5.