Least Common Multiple of 85/76, 775/51, 987/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/76, 775/51, 987/812 quickly i.e. 13003725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/76, 775/51, 987/812 is 13003725.

LCM(85/76, 775/51, 987/812) = 13003725

LCM of 85/76, 775/51, 987/812

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 85/76,775/51,987/812

Given numbers are 85/76,775/51,987/812

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 85,775,987

Least Common Multiple of Numerators i.e. LCM of 85,775,987 is 13003725.

GCF of Denominators means GCF of 76,51,812 as per the given fractions.

GCF of 76,51,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,775,987

LCM of Fractions 85/76,775/51,987/812 is 13003725

5 85, 775, 987
17, 155, 987

∴ So the LCM of the given numbers is 5 x 17 x 155 x 987 = 13003725

Least Common Multiple of 85,775,987 with GCF Formula

Least Common Multiple of 85,775,987 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 85,775,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,775,987) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,775,987) x common factors =1 x 5 = 5

LCM(85,775,987) = ( 85 × 775 × 987 ) / 5

LCM(85,775,987) = 65018625 / 5

LCM(85,775,987) = 13003725


Lets's calculate GCF of 76,51,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13003725/1

Therefore the LCM of Fractions 85/76,775/51,987/812 is 13003725

Greatest Common Factor of 76,51,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,51,812 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 76,51,812 . The biggest common factor number is the GCF number.
So the greatest common factor 76,51,812 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 85/76, 775/51, 987/812

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 85/76, 775/51, 987/812?

Answer: LCM of Numerators as per given numbers 85/76, 775/51, 987/812 is

LCM of Numerators i.e. for 85,775,987 is 13003725

GCF of denominators i.e. for 76,51,812 is 1.

Thus, LCM of Fractions is 13003725.Finally, LCM of Fractions for 85/76, 775/51, 987/812 is 13003725.