Least Common Multiple of 977/96, 760/84, 630/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 977/96, 760/84, 630/79 quickly i.e. 46778760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/96, 760/84, 630/79 is 46778760.

LCM(977/96, 760/84, 630/79) = 46778760

LCM of 977/96, 760/84, 630/79

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 977/96,760/84,630/79

Given numbers are 977/96,760/84,630/79

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 977,760,630

Least Common Multiple of Numerators i.e. LCM of 977,760,630 is 46778760.

GCF of Denominators means GCF of 96,84,79 as per the given fractions.

GCF of 96,84,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,760,630

LCM of Fractions 977/96,760/84,630/79 is 46778760

2 977, 760, 630
5 977, 380, 315
977, 76, 63

∴ So the LCM of the given numbers is 2 x 5 x 977 x 76 x 63 = 46778760

Least Common Multiple of 977,760,630 with GCF Formula

Least Common Multiple of 977,760,630 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 977,760,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,760,630) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(977,760,630) x common factors =1 x 10 = 10

LCM(977,760,630) = ( 977 × 760 × 630 ) / 10

LCM(977,760,630) = 467787600 / 10

LCM(977,760,630) = 46778760


Lets's calculate GCF of 96,84,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46778760/1

Therefore the LCM of Fractions 977/96,760/84,630/79 is 46778760

Greatest Common Factor of 96,84,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,84,79 By Matching Biggest Common Factor Method

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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 96,84,79 . The biggest common factor number is the GCF number.
So the greatest common factor 96,84,79 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 977/96, 760/84, 630/79

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 977/96, 760/84, 630/79?

Answer: LCM of Numerators as per given numbers 977/96, 760/84, 630/79 is

LCM of Numerators i.e. for 977,760,630 is 46778760

GCF of denominators i.e. for 96,84,79 is 1.

Thus, LCM of Fractions is 46778760.Finally, LCM of Fractions for 977/96, 760/84, 630/79 is 46778760.