Least Common Multiple of 76/87, 87/312, 375/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/87, 87/312, 375/745 quickly i.e. 826500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/87, 87/312, 375/745 is 826500.

LCM(76/87, 87/312, 375/745) = 826500

LCM of 76/87, 87/312, 375/745

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 76/87,87/312,375/745

Given numbers are 76/87,87/312,375/745

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 76,87,375

Least Common Multiple of Numerators i.e. LCM of 76,87,375 is 826500.

GCF of Denominators means GCF of 87,312,745 as per the given fractions.

GCF of 87,312,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,87,375

LCM of Fractions 76/87,87/312,375/745 is 826500

3 76, 87, 375
76, 29, 125

∴ So the LCM of the given numbers is 3 x 76 x 29 x 125 = 826500

Least Common Multiple of 76,87,375 with GCF Formula

Least Common Multiple of 76,87,375 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 76,87,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,375) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(76,87,375) x common factors =1 x 3 = 3

LCM(76,87,375) = ( 76 × 87 × 375 ) / 3

LCM(76,87,375) = 2479500 / 3

LCM(76,87,375) = 826500


Lets's calculate GCF of 87,312,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 826500/1

Therefore the LCM of Fractions 76/87,87/312,375/745 is 826500

Greatest Common Factor of 87,312,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,312,745 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 87,312,745 . The biggest common factor number is the GCF number.
So the greatest common factor 87,312,745 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 76/87, 87/312, 375/745

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 76/87, 87/312, 375/745?

Answer: LCM of Numerators as per given numbers 76/87, 87/312, 375/745 is

LCM of Numerators i.e. for 76,87,375 is 826500

GCF of denominators i.e. for 87,312,745 is 1.

Thus, LCM of Fractions is 826500.Finally, LCM of Fractions for 76/87, 87/312, 375/745 is 826500.