Least Common Multiple of 402/43, 220/7962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 402/43, 220/7962 quickly i.e. 44220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/43, 220/7962 is 44220.

LCM(402/43, 220/7962) = 44220

LCM of 402/43, 220/7962

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 402/43,220/7962

Given numbers are 402/43,220/7962

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 402,220

Least Common Multiple of Numerators i.e. LCM of 402,220 is 44220.

GCF of Denominators means GCF of 43,7962 as per the given fractions.

GCF of 43,7962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,220

LCM of Fractions 402/43,220/7962 is 44220

2 402, 220
201, 110

∴ So the LCM of the given numbers is 2 x 201 x 110 = 44220

Least Common Multiple of 402,220 with GCF Formula

Least Common Multiple of 402,220 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 402,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,220) = 2

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

GCF(402,220) x common factors =2 x 1 = 2

LCM(402,220) = ( 402 × 220 ) / 2

LCM(402,220) = 88440 / 2

LCM(402,220) = 44220


Lets's calculate GCF of 43,7962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44220/1

Therefore the LCM of Fractions 402/43,220/7962 is 44220

Greatest Common Factor of 43,7962 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,7962 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1,2,3,6,1327,2654,3981,7962

Greatest Common Factor

We found the factors 43,7962 . The biggest common factor number is the GCF number.
So the greatest common factor 43,7962 is 1.


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 402/43, 220/7962

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 402/43, 220/7962?

Answer: LCM of Numerators as per given numbers 402/43, 220/7962 is

LCM of Numerators i.e. for 402,220 is 44220

GCF of denominators i.e. for 43,7962 is 1.

Thus, LCM of Fractions is 44220.Finally, LCM of Fractions for 402/43, 220/7962 is 44220.