Least Common Multiple of 40/639, 698/824, 272/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/639, 698/824, 272/973 quickly i.e. 474640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/639, 698/824, 272/973 is 474640.

LCM(40/639, 698/824, 272/973) = 474640

LCM of 40/639, 698/824, 272/973

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 40/639,698/824,272/973

Given numbers are 40/639,698/824,272/973

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 40,698,272

Least Common Multiple of Numerators i.e. LCM of 40,698,272 is 474640.

GCF of Denominators means GCF of 639,824,973 as per the given fractions.

GCF of 639,824,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,698,272

LCM of Fractions 40/639,698/824,272/973 is 474640

2 40, 698, 272
2 20, 349, 136
2 10, 349, 68
5, 349, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 349 x 34 = 474640

Least Common Multiple of 40,698,272 with GCF Formula

Least Common Multiple of 40,698,272 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 40,698,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,698,272) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(40,698,272) x common factors =2 x 8 = 16

LCM(40,698,272) = ( 40 × 698 × 272 ) / 16

LCM(40,698,272) = 7594240 / 16

LCM(40,698,272) = 474640


Lets's calculate GCF of 639,824,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474640/1

Therefore the LCM of Fractions 40/639,698/824,272/973 is 474640

Greatest Common Factor of 639,824,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,824,973 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 639,824,973 . The biggest common factor number is the GCF number.
So the greatest common factor 639,824,973 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 40/639, 698/824, 272/973

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 40/639, 698/824, 272/973?

Answer: LCM of Numerators as per given numbers 40/639, 698/824, 272/973 is

LCM of Numerators i.e. for 40,698,272 is 474640

GCF of denominators i.e. for 639,824,973 is 1.

Thus, LCM of Fractions is 474640.Finally, LCM of Fractions for 40/639, 698/824, 272/973 is 474640.