Least Common Multiple of 45/821, 567/191, 280/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/821, 567/191, 280/158 quickly i.e. 22680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/821, 567/191, 280/158 is 22680.

LCM(45/821, 567/191, 280/158) = 22680

LCM of 45/821, 567/191, 280/158

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 45/821,567/191,280/158

Given numbers are 45/821,567/191,280/158

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 45,567,280

Least Common Multiple of Numerators i.e. LCM of 45,567,280 is 22680.

GCF of Denominators means GCF of 821,191,158 as per the given fractions.

GCF of 821,191,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,567,280

LCM of Fractions 45/821,567/191,280/158 is 22680

3 45, 567, 280
3 15, 189, 280
5 5, 63, 280
7 1, 63, 56
1, 9, 8

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 9 x 8 = 22680

Least Common Multiple of 45,567,280 with GCF Formula

Least Common Multiple of 45,567,280 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 45,567,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,567,280) = 1

common factors(in case of two or more numbers have common factors) = 315

GCF(45,567,280) x common factors =1 x 315 = 315

LCM(45,567,280) = ( 45 × 567 × 280 ) / 315

LCM(45,567,280) = 7144200 / 315

LCM(45,567,280) = 22680


Lets's calculate GCF of 821,191,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22680/1

Therefore the LCM of Fractions 45/821,567/191,280/158 is 22680

Greatest Common Factor of 821,191,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,191,158 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 821,191,158 . The biggest common factor number is the GCF number.
So the greatest common factor 821,191,158 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 45/821, 567/191, 280/158

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 45/821, 567/191, 280/158?

Answer: LCM of Numerators as per given numbers 45/821, 567/191, 280/158 is

LCM of Numerators i.e. for 45,567,280 is 22680

GCF of denominators i.e. for 821,191,158 is 1.

Thus, LCM of Fractions is 22680.Finally, LCM of Fractions for 45/821, 567/191, 280/158 is 22680.