Least Common Multiple of 252/122, 254/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 252/122, 254/628 quickly i.e. 16002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/122, 254/628 is 16002.

LCM(252/122, 254/628) = 16002

LCM of 252/122, 254/628

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 252/122,254/628

Given numbers are 252/122,254/628

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 252,254

Least Common Multiple of Numerators i.e. LCM of 252,254 is 32004.

GCF of Denominators means GCF of 122,628 as per the given fractions.

GCF of 122,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,254

LCM of Fractions 252/122,254/628 is 16002

2 252, 254
126, 127

∴ So the LCM of the given numbers is 2 x 126 x 127 = 32004

Least Common Multiple of 252,254 with GCF Formula

Least Common Multiple of 252,254 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 252,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,254) = 2

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

GCF(252,254) x common factors =2 x 1 = 2

LCM(252,254) = ( 252 × 254 ) / 2

LCM(252,254) = 64008 / 2

LCM(252,254) = 32004


Lets's calculate GCF of 122,628

2 122, 628
61, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32004/2

Therefore the LCM of Fractions 252/122,254/628 is 16002

Greatest Common Factor of 122,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,628 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 122,628 . The biggest common factor number is the GCF number.
So the greatest common factor 122,628 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 252/122, 254/628

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 252/122, 254/628?

Answer: LCM of Numerators as per given numbers 252/122, 254/628 is

LCM of Numerators i.e. for 252,254 is 32004

GCF of denominators i.e. for 122,628 is 2.

Thus, LCM of Fractions is 16002.Finally, LCM of Fractions for 252/122, 254/628 is 16002.