Least Common Multiple of 77/524, 208/37, 571/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/524, 208/37, 571/738 quickly i.e. 9145136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/524, 208/37, 571/738 is 9145136.

LCM(77/524, 208/37, 571/738) = 9145136

LCM of 77/524, 208/37, 571/738

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 77/524,208/37,571/738

Given numbers are 77/524,208/37,571/738

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 77,208,571

Least Common Multiple of Numerators i.e. LCM of 77,208,571 is 9145136.

GCF of Denominators means GCF of 524,37,738 as per the given fractions.

GCF of 524,37,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,208,571

LCM of Fractions 77/524,208/37,571/738 is 9145136

Given numbers has no common factors except 1. So, there LCM is their product i.e 9145136

Least Common Multiple of 77,208,571 with GCF Formula

Least Common Multiple of 77,208,571 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 77,208,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,208,571) = 1

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

GCF(77,208,571) x common factors =1 x 1 = 1

LCM(77,208,571) = ( 77 × 208 × 571 ) / 1

LCM(77,208,571) = 9145136 / 1

LCM(77,208,571) = 9145136


Lets's calculate GCF of 524,37,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9145136/1

Therefore the LCM of Fractions 77/524,208/37,571/738 is 9145136

Greatest Common Factor of 524,37,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,37,738 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 524,37,738 . The biggest common factor number is the GCF number.
So the greatest common factor 524,37,738 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 77/524, 208/37, 571/738

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 77/524, 208/37, 571/738?

Answer: LCM of Numerators as per given numbers 77/524, 208/37, 571/738 is

LCM of Numerators i.e. for 77,208,571 is 9145136

GCF of denominators i.e. for 524,37,738 is 1.

Thus, LCM of Fractions is 9145136.Finally, LCM of Fractions for 77/524, 208/37, 571/738 is 9145136.