Least Common Multiple of 76/23, 97/94, 665/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/23, 97/94, 665/996 quickly i.e. 258020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/23, 97/94, 665/996 is 258020.

LCM(76/23, 97/94, 665/996) = 258020

LCM of 76/23, 97/94, 665/996

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 76/23,97/94,665/996

Given numbers are 76/23,97/94,665/996

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 76,97,665

Least Common Multiple of Numerators i.e. LCM of 76,97,665 is 258020.

GCF of Denominators means GCF of 23,94,996 as per the given fractions.

GCF of 23,94,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,97,665

LCM of Fractions 76/23,97/94,665/996 is 258020

19 76, 97, 665
4, 97, 35

∴ So the LCM of the given numbers is 19 x 4 x 97 x 35 = 258020

Least Common Multiple of 76,97,665 with GCF Formula

Least Common Multiple of 76,97,665 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 76,97,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,97,665) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(76,97,665) x common factors =1 x 19 = 19

LCM(76,97,665) = ( 76 × 97 × 665 ) / 19

LCM(76,97,665) = 4902380 / 19

LCM(76,97,665) = 258020


Lets's calculate GCF of 23,94,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258020/1

Therefore the LCM of Fractions 76/23,97/94,665/996 is 258020

Greatest Common Factor of 23,94,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,94,996 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 23,94,996 . The biggest common factor number is the GCF number.
So the greatest common factor 23,94,996 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/23, 97/94, 665/996

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 76/23, 97/94, 665/996?

Answer: LCM of Numerators as per given numbers 76/23, 97/94, 665/996 is

LCM of Numerators i.e. for 76,97,665 is 258020

GCF of denominators i.e. for 23,94,996 is 1.

Thus, LCM of Fractions is 258020.Finally, LCM of Fractions for 76/23, 97/94, 665/996 is 258020.