Least Common Multiple of 87/857, 788/96, 831/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/857, 788/96, 831/851 quickly i.e. 18990012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/857, 788/96, 831/851 is 18990012.

LCM(87/857, 788/96, 831/851) = 18990012

LCM of 87/857, 788/96, 831/851

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 87/857,788/96,831/851

Given numbers are 87/857,788/96,831/851

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 87,788,831

Least Common Multiple of Numerators i.e. LCM of 87,788,831 is 18990012.

GCF of Denominators means GCF of 857,96,851 as per the given fractions.

GCF of 857,96,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,788,831

LCM of Fractions 87/857,788/96,831/851 is 18990012

3 87, 788, 831
29, 788, 277

∴ So the LCM of the given numbers is 3 x 29 x 788 x 277 = 18990012

Least Common Multiple of 87,788,831 with GCF Formula

Least Common Multiple of 87,788,831 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 87,788,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,788,831) = 1

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

GCF(87,788,831) x common factors =1 x 3 = 3

LCM(87,788,831) = ( 87 × 788 × 831 ) / 3

LCM(87,788,831) = 56970036 / 3

LCM(87,788,831) = 18990012


Lets's calculate GCF of 857,96,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18990012/1

Therefore the LCM of Fractions 87/857,788/96,831/851 is 18990012

Greatest Common Factor of 857,96,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,96,851 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 857,96,851 . The biggest common factor number is the GCF number.
So the greatest common factor 857,96,851 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/857, 788/96, 831/851

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 87/857, 788/96, 831/851?

Answer: LCM of Numerators as per given numbers 87/857, 788/96, 831/851 is

LCM of Numerators i.e. for 87,788,831 is 18990012

GCF of denominators i.e. for 857,96,851 is 1.

Thus, LCM of Fractions is 18990012.Finally, LCM of Fractions for 87/857, 788/96, 831/851 is 18990012.