Least Common Multiple of 501/973, 902/721, 408/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/973, 902/721, 408/417 quickly i.e. 30729336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/973, 902/721, 408/417 is 30729336.

LCM(501/973, 902/721, 408/417) = 30729336

LCM of 501/973, 902/721, 408/417

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 501/973,902/721,408/417

Given numbers are 501/973,902/721,408/417

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 501,902,408

Least Common Multiple of Numerators i.e. LCM of 501,902,408 is 30729336.

GCF of Denominators means GCF of 973,721,417 as per the given fractions.

GCF of 973,721,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,902,408

LCM of Fractions 501/973,902/721,408/417 is 30729336

2 501, 902, 408
3 501, 451, 204
167, 451, 68

∴ So the LCM of the given numbers is 2 x 3 x 167 x 451 x 68 = 30729336

Least Common Multiple of 501,902,408 with GCF Formula

Least Common Multiple of 501,902,408 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 501,902,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,902,408) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(501,902,408) x common factors =1 x 6 = 6

LCM(501,902,408) = ( 501 × 902 × 408 ) / 6

LCM(501,902,408) = 184376016 / 6

LCM(501,902,408) = 30729336


Lets's calculate GCF of 973,721,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30729336/1

Therefore the LCM of Fractions 501/973,902/721,408/417 is 30729336

Greatest Common Factor of 973,721,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,721,417 By Matching Biggest Common Factor Method

Factors of 973

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

1,7,139,973

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 973,721,417 . The biggest common factor number is the GCF number.
So the greatest common factor 973,721,417 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 501/973, 902/721, 408/417

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 501/973, 902/721, 408/417?

Answer: LCM of Numerators as per given numbers 501/973, 902/721, 408/417 is

LCM of Numerators i.e. for 501,902,408 is 30729336

GCF of denominators i.e. for 973,721,417 is 1.

Thus, LCM of Fractions is 30729336.Finally, LCM of Fractions for 501/973, 902/721, 408/417 is 30729336.