Least Common Multiple of 87/25, 214/47, 359/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/25, 214/47, 359/764 quickly i.e. 6683862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/25, 214/47, 359/764 is 6683862.

LCM(87/25, 214/47, 359/764) = 6683862

LCM of 87/25, 214/47, 359/764

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 87/25,214/47,359/764

Given numbers are 87/25,214/47,359/764

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 87,214,359

Least Common Multiple of Numerators i.e. LCM of 87,214,359 is 6683862.

GCF of Denominators means GCF of 25,47,764 as per the given fractions.

GCF of 25,47,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,214,359

LCM of Fractions 87/25,214/47,359/764 is 6683862

Given numbers has no common factors except 1. So, there LCM is their product i.e 6683862

Least Common Multiple of 87,214,359 with GCF Formula

Least Common Multiple of 87,214,359 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 87,214,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,214,359) = 1

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

GCF(87,214,359) x common factors =1 x 1 = 1

LCM(87,214,359) = ( 87 × 214 × 359 ) / 1

LCM(87,214,359) = 6683862 / 1

LCM(87,214,359) = 6683862


Lets's calculate GCF of 25,47,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6683862/1

Therefore the LCM of Fractions 87/25,214/47,359/764 is 6683862

Greatest Common Factor of 25,47,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,47,764 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 25,47,764 . The biggest common factor number is the GCF number.
So the greatest common factor 25,47,764 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 87/25, 214/47, 359/764

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 87/25, 214/47, 359/764?

Answer: LCM of Numerators as per given numbers 87/25, 214/47, 359/764 is

LCM of Numerators i.e. for 87,214,359 is 6683862

GCF of denominators i.e. for 25,47,764 is 1.

Thus, LCM of Fractions is 6683862.Finally, LCM of Fractions for 87/25, 214/47, 359/764 is 6683862.