Least Common Multiple of 90/872, 18/917, 820/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/872, 18/917, 820/643 quickly i.e. 7380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/872, 18/917, 820/643 is 7380.

LCM(90/872, 18/917, 820/643) = 7380

LCM of 90/872, 18/917, 820/643

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 90/872,18/917,820/643

Given numbers are 90/872,18/917,820/643

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 90,18,820

Least Common Multiple of Numerators i.e. LCM of 90,18,820 is 7380.

GCF of Denominators means GCF of 872,917,643 as per the given fractions.

GCF of 872,917,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,18,820

LCM of Fractions 90/872,18/917,820/643 is 7380

2 90, 18, 820
3 45, 9, 410
3 15, 3, 410
5 5, 1, 410
1, 1, 82

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 82 = 7380

Least Common Multiple of 90,18,820 with GCF Formula

Least Common Multiple of 90,18,820 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 90,18,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,18,820) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(90,18,820) x common factors =2 x 90 = 180

LCM(90,18,820) = ( 90 × 18 × 820 ) / 180

LCM(90,18,820) = 1328400 / 180

LCM(90,18,820) = 7380


Lets's calculate GCF of 872,917,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7380/1

Therefore the LCM of Fractions 90/872,18/917,820/643 is 7380

Greatest Common Factor of 872,917,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,917,643 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 872,917,643 . The biggest common factor number is the GCF number.
So the greatest common factor 872,917,643 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 90/872, 18/917, 820/643

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 90/872, 18/917, 820/643?

Answer: LCM of Numerators as per given numbers 90/872, 18/917, 820/643 is

LCM of Numerators i.e. for 90,18,820 is 7380

GCF of denominators i.e. for 872,917,643 is 1.

Thus, LCM of Fractions is 7380.Finally, LCM of Fractions for 90/872, 18/917, 820/643 is 7380.