Least Common Multiple of 963/974, 951/139, 576/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/974, 951/139, 576/547 quickly i.e. 19537344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/974, 951/139, 576/547 is 19537344.

LCM(963/974, 951/139, 576/547) = 19537344

LCM of 963/974, 951/139, 576/547

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 963/974,951/139,576/547

Given numbers are 963/974,951/139,576/547

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 963,951,576

Least Common Multiple of Numerators i.e. LCM of 963,951,576 is 19537344.

GCF of Denominators means GCF of 974,139,547 as per the given fractions.

GCF of 974,139,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,951,576

LCM of Fractions 963/974,951/139,576/547 is 19537344

3 963, 951, 576
3 321, 317, 192
107, 317, 64

∴ So the LCM of the given numbers is 3 x 3 x 107 x 317 x 64 = 19537344

Least Common Multiple of 963,951,576 with GCF Formula

Least Common Multiple of 963,951,576 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 963,951,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,951,576) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(963,951,576) x common factors =3 x 9 = 27

LCM(963,951,576) = ( 963 × 951 × 576 ) / 27

LCM(963,951,576) = 527508288 / 27

LCM(963,951,576) = 19537344


Lets's calculate GCF of 974,139,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19537344/1

Therefore the LCM of Fractions 963/974,951/139,576/547 is 19537344

Greatest Common Factor of 974,139,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,139,547 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 139

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

1,139

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 974,139,547 . The biggest common factor number is the GCF number.
So the greatest common factor 974,139,547 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 963/974, 951/139, 576/547

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 963/974, 951/139, 576/547?

Answer: LCM of Numerators as per given numbers 963/974, 951/139, 576/547 is

LCM of Numerators i.e. for 963,951,576 is 19537344

GCF of denominators i.e. for 974,139,547 is 1.

Thus, LCM of Fractions is 19537344.Finally, LCM of Fractions for 963/974, 951/139, 576/547 is 19537344.