Least Common Multiple of 76/920, 97/515, 500/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/920, 97/515, 500/139 quickly i.e. 921500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/920, 97/515, 500/139 is 921500.

LCM(76/920, 97/515, 500/139) = 921500

LCM of 76/920, 97/515, 500/139

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 76/920,97/515,500/139

Given numbers are 76/920,97/515,500/139

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 76,97,500

Least Common Multiple of Numerators i.e. LCM of 76,97,500 is 921500.

GCF of Denominators means GCF of 920,515,139 as per the given fractions.

GCF of 920,515,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,97,500

LCM of Fractions 76/920,97/515,500/139 is 921500

2 76, 97, 500
2 38, 97, 250
19, 97, 125

∴ So the LCM of the given numbers is 2 x 2 x 19 x 97 x 125 = 921500

Least Common Multiple of 76,97,500 with GCF Formula

Least Common Multiple of 76,97,500 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 76,97,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,97,500) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,97,500) x common factors =1 x 4 = 4

LCM(76,97,500) = ( 76 × 97 × 500 ) / 4

LCM(76,97,500) = 3686000 / 4

LCM(76,97,500) = 921500


Lets's calculate GCF of 920,515,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 921500/1

Therefore the LCM of Fractions 76/920,97/515,500/139 is 921500

Greatest Common Factor of 920,515,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,515,139 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 920,515,139 . The biggest common factor number is the GCF number.
So the greatest common factor 920,515,139 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/920, 97/515, 500/139

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 76/920, 97/515, 500/139?

Answer: LCM of Numerators as per given numbers 76/920, 97/515, 500/139 is

LCM of Numerators i.e. for 76,97,500 is 921500

GCF of denominators i.e. for 920,515,139 is 1.

Thus, LCM of Fractions is 921500.Finally, LCM of Fractions for 76/920, 97/515, 500/139 is 921500.