Least Common Multiple of 976/81, 447/35, 624/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/81, 447/35, 624/537 quickly i.e. 5671536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/81, 447/35, 624/537 is 5671536.

LCM(976/81, 447/35, 624/537) = 5671536

LCM of 976/81, 447/35, 624/537

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 976/81,447/35,624/537

Given numbers are 976/81,447/35,624/537

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 976,447,624

Least Common Multiple of Numerators i.e. LCM of 976,447,624 is 5671536.

GCF of Denominators means GCF of 81,35,537 as per the given fractions.

GCF of 81,35,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,447,624

LCM of Fractions 976/81,447/35,624/537 is 5671536

2 976, 447, 624
2 488, 447, 312
2 244, 447, 156
2 122, 447, 78
3 61, 447, 39
61, 149, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 61 x 149 x 13 = 5671536

Least Common Multiple of 976,447,624 with GCF Formula

Least Common Multiple of 976,447,624 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 976,447,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,447,624) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(976,447,624) x common factors =1 x 48 = 48

LCM(976,447,624) = ( 976 × 447 × 624 ) / 48

LCM(976,447,624) = 272233728 / 48

LCM(976,447,624) = 5671536


Lets's calculate GCF of 81,35,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5671536/1

Therefore the LCM of Fractions 976/81,447/35,624/537 is 5671536

Greatest Common Factor of 81,35,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,35,537 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 81,35,537 . The biggest common factor number is the GCF number.
So the greatest common factor 81,35,537 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 976/81, 447/35, 624/537

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 976/81, 447/35, 624/537?

Answer: LCM of Numerators as per given numbers 976/81, 447/35, 624/537 is

LCM of Numerators i.e. for 976,447,624 is 5671536

GCF of denominators i.e. for 81,35,537 is 1.

Thus, LCM of Fractions is 5671536.Finally, LCM of Fractions for 976/81, 447/35, 624/537 is 5671536.