Least Common Multiple of 98/422, 42/256, 482/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/422, 42/256, 482/213 quickly i.e. 70854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/422, 42/256, 482/213 is 70854.

LCM(98/422, 42/256, 482/213) = 70854

LCM of 98/422, 42/256, 482/213

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 98/422,42/256,482/213

Given numbers are 98/422,42/256,482/213

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 98,42,482

Least Common Multiple of Numerators i.e. LCM of 98,42,482 is 70854.

GCF of Denominators means GCF of 422,256,213 as per the given fractions.

GCF of 422,256,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,42,482

LCM of Fractions 98/422,42/256,482/213 is 70854

2 98, 42, 482
7 49, 21, 241
7, 3, 241

∴ So the LCM of the given numbers is 2 x 7 x 7 x 3 x 241 = 70854

Least Common Multiple of 98,42,482 with GCF Formula

Least Common Multiple of 98,42,482 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 98,42,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,42,482) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(98,42,482) x common factors =2 x 14 = 28

LCM(98,42,482) = ( 98 × 42 × 482 ) / 28

LCM(98,42,482) = 1983912 / 28

LCM(98,42,482) = 70854


Lets's calculate GCF of 422,256,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70854/1

Therefore the LCM of Fractions 98/422,42/256,482/213 is 70854

Greatest Common Factor of 422,256,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,256,213 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 422,256,213 . The biggest common factor number is the GCF number.
So the greatest common factor 422,256,213 is 1.


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 98/422, 42/256, 482/213

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 98/422, 42/256, 482/213?

Answer: LCM of Numerators as per given numbers 98/422, 42/256, 482/213 is

LCM of Numerators i.e. for 98,42,482 is 70854

GCF of denominators i.e. for 422,256,213 is 1.

Thus, LCM of Fractions is 70854.Finally, LCM of Fractions for 98/422, 42/256, 482/213 is 70854.