Least Common Multiple of 86/97, 79/940, 254/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/97, 79/940, 254/921 quickly i.e. 862838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/97, 79/940, 254/921 is 862838.

LCM(86/97, 79/940, 254/921) = 862838

LCM of 86/97, 79/940, 254/921

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 86/97,79/940,254/921

Given numbers are 86/97,79/940,254/921

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 86,79,254

Least Common Multiple of Numerators i.e. LCM of 86,79,254 is 862838.

GCF of Denominators means GCF of 97,940,921 as per the given fractions.

GCF of 97,940,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,79,254

LCM of Fractions 86/97,79/940,254/921 is 862838

2 86, 79, 254
43, 79, 127

∴ So the LCM of the given numbers is 2 x 43 x 79 x 127 = 862838

Least Common Multiple of 86,79,254 with GCF Formula

Least Common Multiple of 86,79,254 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 86,79,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,79,254) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,79,254) x common factors =1 x 2 = 2

LCM(86,79,254) = ( 86 × 79 × 254 ) / 2

LCM(86,79,254) = 1725676 / 2

LCM(86,79,254) = 862838


Lets's calculate GCF of 97,940,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 862838/1

Therefore the LCM of Fractions 86/97,79/940,254/921 is 862838

Greatest Common Factor of 97,940,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,940,921 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 97,940,921 . The biggest common factor number is the GCF number.
So the greatest common factor 97,940,921 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/97, 79/940, 254/921

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 86/97, 79/940, 254/921?

Answer: LCM of Numerators as per given numbers 86/97, 79/940, 254/921 is

LCM of Numerators i.e. for 86,79,254 is 862838

GCF of denominators i.e. for 97,940,921 is 1.

Thus, LCM of Fractions is 862838.Finally, LCM of Fractions for 86/97, 79/940, 254/921 is 862838.