Least Common Multiple of 920/398, 163/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 920/398, 163/291 quickly i.e. 149960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/398, 163/291 is 149960.

LCM(920/398, 163/291) = 149960

LCM of 920/398, 163/291

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 920/398,163/291

Given numbers are 920/398,163/291

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 920,163

Least Common Multiple of Numerators i.e. LCM of 920,163 is 149960.

GCF of Denominators means GCF of 398,291 as per the given fractions.

GCF of 398,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,163

LCM of Fractions 920/398,163/291 is 149960

Given numbers has no common factors except 1. So, there LCM is their product i.e 149960

Least Common Multiple of 920,163 with GCF Formula

Least Common Multiple of 920,163 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 920,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,163) = 1

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

GCF(920,163) x common factors =1 x 1 = 1

LCM(920,163) = ( 920 × 163 ) / 1

LCM(920,163) = 149960 / 1

LCM(920,163) = 149960


Lets's calculate GCF of 398,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149960/1

Therefore the LCM of Fractions 920/398,163/291 is 149960

Greatest Common Factor of 398,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,291 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 398,291 . The biggest common factor number is the GCF number.
So the greatest common factor 398,291 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 920/398, 163/291

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 920/398, 163/291?

Answer: LCM of Numerators as per given numbers 920/398, 163/291 is

LCM of Numerators i.e. for 920,163 is 149960

GCF of denominators i.e. for 398,291 is 1.

Thus, LCM of Fractions is 149960.Finally, LCM of Fractions for 920/398, 163/291 is 149960.