Least Common Multiple of 822/260, 5481/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 822/260, 5481/119 quickly i.e. 1501794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/260, 5481/119 is 1501794.

LCM(822/260, 5481/119) = 1501794

LCM of 822/260, 5481/119

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 822/260,5481/119

Given numbers are 822/260,5481/119

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 822,5481

Least Common Multiple of Numerators i.e. LCM of 822,5481 is 1501794.

GCF of Denominators means GCF of 260,119 as per the given fractions.

GCF of 260,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,5481

LCM of Fractions 822/260,5481/119 is 1501794

3 822, 5481
274, 1827

∴ So the LCM of the given numbers is 3 x 274 x 1827 = 1501794

Least Common Multiple of 822,5481 with GCF Formula

Least Common Multiple of 822,5481 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 822,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,5481) = 3

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

GCF(822,5481) x common factors =3 x 1 = 3

LCM(822,5481) = ( 822 × 5481 ) / 3

LCM(822,5481) = 4505382 / 3

LCM(822,5481) = 1501794


Lets's calculate GCF of 260,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1501794/1

Therefore the LCM of Fractions 822/260,5481/119 is 1501794

Greatest Common Factor of 260,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,119 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 260,119 . The biggest common factor number is the GCF number.
So the greatest common factor 260,119 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 822/260, 5481/119

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 822/260, 5481/119?

Answer: LCM of Numerators as per given numbers 822/260, 5481/119 is

LCM of Numerators i.e. for 822,5481 is 1501794

GCF of denominators i.e. for 260,119 is 1.

Thus, LCM of Fractions is 1501794.Finally, LCM of Fractions for 822/260, 5481/119 is 1501794.