Least Common Multiple of 979/83, 447/44, 204/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 979/83, 447/44, 204/648 quickly i.e. 29757684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 979/83, 447/44, 204/648 is 29757684.

LCM(979/83, 447/44, 204/648) = 29757684

LCM of 979/83, 447/44, 204/648

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 979/83,447/44,204/648

Given numbers are 979/83,447/44,204/648

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 979,447,204

Least Common Multiple of Numerators i.e. LCM of 979,447,204 is 29757684.

GCF of Denominators means GCF of 83,44,648 as per the given fractions.

GCF of 83,44,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 979,447,204

LCM of Fractions 979/83,447/44,204/648 is 29757684

3 979, 447, 204
979, 149, 68

∴ So the LCM of the given numbers is 3 x 979 x 149 x 68 = 29757684

Least Common Multiple of 979,447,204 with GCF Formula

Least Common Multiple of 979,447,204 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 979,447,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,447,204) = 1

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

GCF(979,447,204) x common factors =1 x 3 = 3

LCM(979,447,204) = ( 979 × 447 × 204 ) / 3

LCM(979,447,204) = 89273052 / 3

LCM(979,447,204) = 29757684


Lets's calculate GCF of 83,44,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29757684/1

Therefore the LCM of Fractions 979/83,447/44,204/648 is 29757684

Greatest Common Factor of 83,44,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,44,648 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 83,44,648 . The biggest common factor number is the GCF number.
So the greatest common factor 83,44,648 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 979/83, 447/44, 204/648

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 979/83, 447/44, 204/648?

Answer: LCM of Numerators as per given numbers 979/83, 447/44, 204/648 is

LCM of Numerators i.e. for 979,447,204 is 29757684

GCF of denominators i.e. for 83,44,648 is 1.

Thus, LCM of Fractions is 29757684.Finally, LCM of Fractions for 979/83, 447/44, 204/648 is 29757684.