Least Common Multiple of 90/838, 22/553, 744/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/838, 22/553, 744/846 quickly i.e. 122760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/838, 22/553, 744/846 is 122760.

LCM(90/838, 22/553, 744/846) = 122760

LCM of 90/838, 22/553, 744/846

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 90/838,22/553,744/846

Given numbers are 90/838,22/553,744/846

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 90,22,744

Least Common Multiple of Numerators i.e. LCM of 90,22,744 is 122760.

GCF of Denominators means GCF of 838,553,846 as per the given fractions.

GCF of 838,553,846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,22,744

LCM of Fractions 90/838,22/553,744/846 is 122760

2 90, 22, 744
3 45, 11, 372
15, 11, 124

∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 124 = 122760

Least Common Multiple of 90,22,744 with GCF Formula

Least Common Multiple of 90,22,744 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 90,22,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,22,744) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(90,22,744) x common factors =2 x 6 = 12

LCM(90,22,744) = ( 90 × 22 × 744 ) / 12

LCM(90,22,744) = 1473120 / 12

LCM(90,22,744) = 122760


Lets's calculate GCF of 838,553,846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122760/1

Therefore the LCM of Fractions 90/838,22/553,744/846 is 122760

Greatest Common Factor of 838,553,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,553,846 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 838,553,846 . The biggest common factor number is the GCF number.
So the greatest common factor 838,553,846 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 90/838, 22/553, 744/846

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 90/838, 22/553, 744/846?

Answer: LCM of Numerators as per given numbers 90/838, 22/553, 744/846 is

LCM of Numerators i.e. for 90,22,744 is 122760

GCF of denominators i.e. for 838,553,846 is 1.

Thus, LCM of Fractions is 122760.Finally, LCM of Fractions for 90/838, 22/553, 744/846 is 122760.