Least Common Multiple of 77/664, 721/484, 561/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/664, 721/484, 561/172 quickly i.e. 404481/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/664, 721/484, 561/172 is 404481/4.

LCM(77/664, 721/484, 561/172) = 404481/4

LCM of 77/664, 721/484, 561/172

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 77/664,721/484,561/172

Given numbers are 77/664,721/484,561/172

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 77,721,561

Least Common Multiple of Numerators i.e. LCM of 77,721,561 is 404481.

GCF of Denominators means GCF of 664,484,172 as per the given fractions.

GCF of 664,484,172 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,721,561

LCM of Fractions 77/664,721/484,561/172 is 404481/4

7 77, 721, 561
11 11, 103, 561
1, 103, 51

∴ So the LCM of the given numbers is 7 x 11 x 1 x 103 x 51 = 404481

Least Common Multiple of 77,721,561 with GCF Formula

Least Common Multiple of 77,721,561 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 77,721,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,721,561) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,721,561) x common factors =1 x 77 = 77

LCM(77,721,561) = ( 77 × 721 × 561 ) / 77

LCM(77,721,561) = 31145037 / 77

LCM(77,721,561) = 404481


Lets's calculate GCF of 664,484,172

2 664, 484, 172
2 332, 242, 86
166, 121, 43

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404481/4

Therefore the LCM of Fractions 77/664,721/484,561/172 is 404481/4

Greatest Common Factor of 664,484,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,484,172 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 664,484,172 . The biggest common factor number is the GCF number.
So the greatest common factor 664,484,172 is 4.


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 77/664, 721/484, 561/172

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 77/664, 721/484, 561/172?

Answer: LCM of Numerators as per given numbers 77/664, 721/484, 561/172 is

LCM of Numerators i.e. for 77,721,561 is 404481

GCF of denominators i.e. for 664,484,172 is 4.

Thus, LCM of Fractions is 404481/4.Finally, LCM of Fractions for 77/664, 721/484, 561/172 is 404481/4.