Least Common Multiple of 79/624, 29/121, 469/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/624, 29/121, 469/916 quickly i.e. 1074479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/624, 29/121, 469/916 is 1074479.

LCM(79/624, 29/121, 469/916) = 1074479

LCM of 79/624, 29/121, 469/916

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 79/624,29/121,469/916

Given numbers are 79/624,29/121,469/916

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 79,29,469

Least Common Multiple of Numerators i.e. LCM of 79,29,469 is 1074479.

GCF of Denominators means GCF of 624,121,916 as per the given fractions.

GCF of 624,121,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,29,469

LCM of Fractions 79/624,29/121,469/916 is 1074479

Given numbers has no common factors except 1. So, there LCM is their product i.e 1074479

Least Common Multiple of 79,29,469 with GCF Formula

Least Common Multiple of 79,29,469 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 79,29,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,29,469) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,29,469) x common factors =1 x 1 = 1

LCM(79,29,469) = ( 79 × 29 × 469 ) / 1

LCM(79,29,469) = 1074479 / 1

LCM(79,29,469) = 1074479


Lets's calculate GCF of 624,121,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074479/1

Therefore the LCM of Fractions 79/624,29/121,469/916 is 1074479

Greatest Common Factor of 624,121,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,121,916 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 624,121,916 . The biggest common factor number is the GCF number.
So the greatest common factor 624,121,916 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 79/624, 29/121, 469/916

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 79/624, 29/121, 469/916?

Answer: LCM of Numerators as per given numbers 79/624, 29/121, 469/916 is

LCM of Numerators i.e. for 79,29,469 is 1074479

GCF of denominators i.e. for 624,121,916 is 1.

Thus, LCM of Fractions is 1074479.Finally, LCM of Fractions for 79/624, 29/121, 469/916 is 1074479.