Least Common Multiple of 84/974, 559/749, 903/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/974, 559/749, 903/116 quickly i.e. 46956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/974, 559/749, 903/116 is 46956.

LCM(84/974, 559/749, 903/116) = 46956

LCM of 84/974, 559/749, 903/116

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 84/974,559/749,903/116

Given numbers are 84/974,559/749,903/116

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 84,559,903

Least Common Multiple of Numerators i.e. LCM of 84,559,903 is 46956.

GCF of Denominators means GCF of 974,749,116 as per the given fractions.

GCF of 974,749,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,559,903

LCM of Fractions 84/974,559/749,903/116 is 46956

3 84, 559, 903
7 28, 559, 301
43 4, 559, 43
4, 13, 1

∴ So the LCM of the given numbers is 3 x 7 x 43 x 4 x 13 x 1 = 46956

Least Common Multiple of 84,559,903 with GCF Formula

Least Common Multiple of 84,559,903 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 84,559,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,559,903) = 1

common factors(in case of two or more numbers have common factors) = 903

GCF(84,559,903) x common factors =1 x 903 = 903

LCM(84,559,903) = ( 84 × 559 × 903 ) / 903

LCM(84,559,903) = 42401268 / 903

LCM(84,559,903) = 46956


Lets's calculate GCF of 974,749,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46956/1

Therefore the LCM of Fractions 84/974,559/749,903/116 is 46956

Greatest Common Factor of 974,749,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,749,116 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 974,749,116 . The biggest common factor number is the GCF number.
So the greatest common factor 974,749,116 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 84/974, 559/749, 903/116

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 84/974, 559/749, 903/116?

Answer: LCM of Numerators as per given numbers 84/974, 559/749, 903/116 is

LCM of Numerators i.e. for 84,559,903 is 46956

GCF of denominators i.e. for 974,749,116 is 1.

Thus, LCM of Fractions is 46956.Finally, LCM of Fractions for 84/974, 559/749, 903/116 is 46956.