Least Common Multiple of 628/522, 274/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/522, 274/220 quickly i.e. 43018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/522, 274/220 is 43018.

LCM(628/522, 274/220) = 43018

LCM of 628/522, 274/220

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 628/522,274/220

Given numbers are 628/522,274/220

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 628,274

Least Common Multiple of Numerators i.e. LCM of 628,274 is 86036.

GCF of Denominators means GCF of 522,220 as per the given fractions.

GCF of 522,220 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,274

LCM of Fractions 628/522,274/220 is 43018

2 628, 274
314, 137

∴ So the LCM of the given numbers is 2 x 314 x 137 = 86036

Least Common Multiple of 628,274 with GCF Formula

Least Common Multiple of 628,274 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 628,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,274) = 2

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

GCF(628,274) x common factors =2 x 1 = 2

LCM(628,274) = ( 628 × 274 ) / 2

LCM(628,274) = 172072 / 2

LCM(628,274) = 86036


Lets's calculate GCF of 522,220

2 522, 220
261, 110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86036/2

Therefore the LCM of Fractions 628/522,274/220 is 43018

Greatest Common Factor of 522,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,220 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 522,220 . The biggest common factor number is the GCF number.
So the greatest common factor 522,220 is 2.


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 628/522, 274/220

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 628/522, 274/220?

Answer: LCM of Numerators as per given numbers 628/522, 274/220 is

LCM of Numerators i.e. for 628,274 is 86036

GCF of denominators i.e. for 522,220 is 2.

Thus, LCM of Fractions is 43018.Finally, LCM of Fractions for 628/522, 274/220 is 43018.