Least Common Multiple of 87/542, 95/130, 311/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/542, 95/130, 311/832 quickly i.e. 2570415/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/542, 95/130, 311/832 is 2570415/2.

LCM(87/542, 95/130, 311/832) = 2570415/2

LCM of 87/542, 95/130, 311/832

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 87/542,95/130,311/832

Given numbers are 87/542,95/130,311/832

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 87,95,311

Least Common Multiple of Numerators i.e. LCM of 87,95,311 is 2570415.

GCF of Denominators means GCF of 542,130,832 as per the given fractions.

GCF of 542,130,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,95,311

LCM of Fractions 87/542,95/130,311/832 is 2570415/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2570415

Least Common Multiple of 87,95,311 with GCF Formula

Least Common Multiple of 87,95,311 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 87,95,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,95,311) = 1

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

GCF(87,95,311) x common factors =1 x 1 = 1

LCM(87,95,311) = ( 87 × 95 × 311 ) / 1

LCM(87,95,311) = 2570415 / 1

LCM(87,95,311) = 2570415


Lets's calculate GCF of 542,130,832

2 542, 130, 832
271, 65, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2570415/2

Therefore the LCM of Fractions 87/542,95/130,311/832 is 2570415/2

Greatest Common Factor of 542,130,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,130,832 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 542,130,832 . The biggest common factor number is the GCF number.
So the greatest common factor 542,130,832 is 2.


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 87/542, 95/130, 311/832

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 87/542, 95/130, 311/832?

Answer: LCM of Numerators as per given numbers 87/542, 95/130, 311/832 is

LCM of Numerators i.e. for 87,95,311 is 2570415

GCF of denominators i.e. for 542,130,832 is 2.

Thus, LCM of Fractions is 2570415/2.Finally, LCM of Fractions for 87/542, 95/130, 311/832 is 2570415/2.