Least Common Multiple of 21/627, 58/643, 755/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/627, 58/643, 755/663 quickly i.e. 919590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/627, 58/643, 755/663 is 919590.

LCM(21/627, 58/643, 755/663) = 919590

LCM of 21/627, 58/643, 755/663

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 21/627,58/643,755/663

Given numbers are 21/627,58/643,755/663

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 21,58,755

Least Common Multiple of Numerators i.e. LCM of 21,58,755 is 919590.

GCF of Denominators means GCF of 627,643,663 as per the given fractions.

GCF of 627,643,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,58,755

LCM of Fractions 21/627,58/643,755/663 is 919590

Given numbers has no common factors except 1. So, there LCM is their product i.e 919590

Least Common Multiple of 21,58,755 with GCF Formula

Least Common Multiple of 21,58,755 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 21,58,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,755) = 1

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

GCF(21,58,755) x common factors =1 x 1 = 1

LCM(21,58,755) = ( 21 × 58 × 755 ) / 1

LCM(21,58,755) = 919590 / 1

LCM(21,58,755) = 919590


Lets's calculate GCF of 627,643,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 919590/1

Therefore the LCM of Fractions 21/627,58/643,755/663 is 919590

Greatest Common Factor of 627,643,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,643,663 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 627,643,663 . The biggest common factor number is the GCF number.
So the greatest common factor 627,643,663 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 21/627, 58/643, 755/663

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 21/627, 58/643, 755/663?

Answer: LCM of Numerators as per given numbers 21/627, 58/643, 755/663 is

LCM of Numerators i.e. for 21,58,755 is 919590

GCF of denominators i.e. for 627,643,663 is 1.

Thus, LCM of Fractions is 919590.Finally, LCM of Fractions for 21/627, 58/643, 755/663 is 919590.