Least Common Multiple of 637/627, 6981/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 637/627, 6981/654 quickly i.e. 114023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/627, 6981/654 is 114023.

LCM(637/627, 6981/654) = 114023

LCM of 637/627, 6981/654

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 637/627,6981/654

Given numbers are 637/627,6981/654

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 637,6981

Least Common Multiple of Numerators i.e. LCM of 637,6981 is 342069.

GCF of Denominators means GCF of 627,654 as per the given fractions.

GCF of 627,654 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,6981

LCM of Fractions 637/627,6981/654 is 114023

13 637, 6981
49, 537

∴ So the LCM of the given numbers is 13 x 49 x 537 = 342069

Least Common Multiple of 637,6981 with GCF Formula

Least Common Multiple of 637,6981 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 637,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,6981) = 13

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

GCF(637,6981) x common factors =13 x 1 = 13

LCM(637,6981) = ( 637 × 6981 ) / 13

LCM(637,6981) = 4446897 / 13

LCM(637,6981) = 342069


Lets's calculate GCF of 627,654

3 627, 654
209, 218

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342069/3

Therefore the LCM of Fractions 637/627,6981/654 is 114023

Greatest Common Factor of 627,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,654 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 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 627,654 . The biggest common factor number is the GCF number.
So the greatest common factor 627,654 is 3.


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 637/627, 6981/654

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 637/627, 6981/654?

Answer: LCM of Numerators as per given numbers 637/627, 6981/654 is

LCM of Numerators i.e. for 637,6981 is 342069

GCF of denominators i.e. for 627,654 is 3.

Thus, LCM of Fractions is 114023.Finally, LCM of Fractions for 637/627, 6981/654 is 114023.