Least Common Multiple of 90/852, 26/121, 844/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/852, 26/121, 844/663 quickly i.e. 493740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/852, 26/121, 844/663 is 493740.

LCM(90/852, 26/121, 844/663) = 493740

LCM of 90/852, 26/121, 844/663

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 90/852,26/121,844/663

Given numbers are 90/852,26/121,844/663

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 90,26,844

Least Common Multiple of Numerators i.e. LCM of 90,26,844 is 493740.

GCF of Denominators means GCF of 852,121,663 as per the given fractions.

GCF of 852,121,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,26,844

LCM of Fractions 90/852,26/121,844/663 is 493740

2 90, 26, 844
45, 13, 422

∴ So the LCM of the given numbers is 2 x 45 x 13 x 422 = 493740

Least Common Multiple of 90,26,844 with GCF Formula

Least Common Multiple of 90,26,844 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 90,26,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,26,844) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(90,26,844) x common factors =2 x 2 = 4

LCM(90,26,844) = ( 90 × 26 × 844 ) / 4

LCM(90,26,844) = 1974960 / 4

LCM(90,26,844) = 493740


Lets's calculate GCF of 852,121,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493740/1

Therefore the LCM of Fractions 90/852,26/121,844/663 is 493740

Greatest Common Factor of 852,121,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,121,663 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 852,121,663 . The biggest common factor number is the GCF number.
So the greatest common factor 852,121,663 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 90/852, 26/121, 844/663

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 90/852, 26/121, 844/663?

Answer: LCM of Numerators as per given numbers 90/852, 26/121, 844/663 is

LCM of Numerators i.e. for 90,26,844 is 493740

GCF of denominators i.e. for 852,121,663 is 1.

Thus, LCM of Fractions is 493740.Finally, LCM of Fractions for 90/852, 26/121, 844/663 is 493740.