Least Common Multiple of 274/55, 790/8422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/55, 790/8422 quickly i.e. 108230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/55, 790/8422 is 108230.

LCM(274/55, 790/8422) = 108230

LCM of 274/55, 790/8422

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 274/55,790/8422

Given numbers are 274/55,790/8422

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 274,790

Least Common Multiple of Numerators i.e. LCM of 274,790 is 108230.

GCF of Denominators means GCF of 55,8422 as per the given fractions.

GCF of 55,8422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,790

LCM of Fractions 274/55,790/8422 is 108230

2 274, 790
137, 395

∴ So the LCM of the given numbers is 2 x 137 x 395 = 108230

Least Common Multiple of 274,790 with GCF Formula

Least Common Multiple of 274,790 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 274,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,790) = 2

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

GCF(274,790) x common factors =2 x 1 = 2

LCM(274,790) = ( 274 × 790 ) / 2

LCM(274,790) = 216460 / 2

LCM(274,790) = 108230


Lets's calculate GCF of 55,8422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108230/1

Therefore the LCM of Fractions 274/55,790/8422 is 108230

Greatest Common Factor of 55,8422 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,8422 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1,2,4211,8422

Greatest Common Factor

We found the factors 55,8422 . The biggest common factor number is the GCF number.
So the greatest common factor 55,8422 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 274/55, 790/8422

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 274/55, 790/8422?

Answer: LCM of Numerators as per given numbers 274/55, 790/8422 is

LCM of Numerators i.e. for 274,790 is 108230

GCF of denominators i.e. for 55,8422 is 1.

Thus, LCM of Fractions is 108230.Finally, LCM of Fractions for 274/55, 790/8422 is 108230.