Least Common Multiple of 55/721, 66/551, 687/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/721, 66/551, 687/938 quickly i.e. 75570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/721, 66/551, 687/938 is 75570.

LCM(55/721, 66/551, 687/938) = 75570

LCM of 55/721, 66/551, 687/938

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 55/721,66/551,687/938

Given numbers are 55/721,66/551,687/938

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 55,66,687

Least Common Multiple of Numerators i.e. LCM of 55,66,687 is 75570.

GCF of Denominators means GCF of 721,551,938 as per the given fractions.

GCF of 721,551,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,66,687

LCM of Fractions 55/721,66/551,687/938 is 75570

3 55, 66, 687
11 55, 22, 229
5, 2, 229

∴ So the LCM of the given numbers is 3 x 11 x 5 x 2 x 229 = 75570

Least Common Multiple of 55,66,687 with GCF Formula

Least Common Multiple of 55,66,687 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 55,66,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,66,687) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(55,66,687) x common factors =1 x 33 = 33

LCM(55,66,687) = ( 55 × 66 × 687 ) / 33

LCM(55,66,687) = 2493810 / 33

LCM(55,66,687) = 75570


Lets's calculate GCF of 721,551,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75570/1

Therefore the LCM of Fractions 55/721,66/551,687/938 is 75570

Greatest Common Factor of 721,551,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,551,938 By Matching Biggest Common Factor Method

Factors of 721

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

1,7,103,721

Factors of 551

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

1,19,29,551

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 721,551,938 . The biggest common factor number is the GCF number.
So the greatest common factor 721,551,938 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 55/721, 66/551, 687/938

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 55/721, 66/551, 687/938?

Answer: LCM of Numerators as per given numbers 55/721, 66/551, 687/938 is

LCM of Numerators i.e. for 55,66,687 is 75570

GCF of denominators i.e. for 721,551,938 is 1.

Thus, LCM of Fractions is 75570.Finally, LCM of Fractions for 55/721, 66/551, 687/938 is 75570.