Least Common Multiple of 77/639, 733/551, 174/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/639, 733/551, 174/724 quickly i.e. 9820734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/639, 733/551, 174/724 is 9820734.

LCM(77/639, 733/551, 174/724) = 9820734

LCM of 77/639, 733/551, 174/724

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 77/639,733/551,174/724

Given numbers are 77/639,733/551,174/724

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 77,733,174

Least Common Multiple of Numerators i.e. LCM of 77,733,174 is 9820734.

GCF of Denominators means GCF of 639,551,724 as per the given fractions.

GCF of 639,551,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,733,174

LCM of Fractions 77/639,733/551,174/724 is 9820734

Given numbers has no common factors except 1. So, there LCM is their product i.e 9820734

Least Common Multiple of 77,733,174 with GCF Formula

Least Common Multiple of 77,733,174 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 77,733,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,733,174) = 1

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

GCF(77,733,174) x common factors =1 x 1 = 1

LCM(77,733,174) = ( 77 × 733 × 174 ) / 1

LCM(77,733,174) = 9820734 / 1

LCM(77,733,174) = 9820734


Lets's calculate GCF of 639,551,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9820734/1

Therefore the LCM of Fractions 77/639,733/551,174/724 is 9820734

Greatest Common Factor of 639,551,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,551,724 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 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 639,551,724 . The biggest common factor number is the GCF number.
So the greatest common factor 639,551,724 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 77/639, 733/551, 174/724

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 77/639, 733/551, 174/724?

Answer: LCM of Numerators as per given numbers 77/639, 733/551, 174/724 is

LCM of Numerators i.e. for 77,733,174 is 9820734

GCF of denominators i.e. for 639,551,724 is 1.

Thus, LCM of Fractions is 9820734.Finally, LCM of Fractions for 77/639, 733/551, 174/724 is 9820734.