Least Common Multiple of 22/78, 844/90, 844/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/78, 844/90, 844/480 quickly i.e. 9284/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/78, 844/90, 844/480 is 9284/6.

LCM(22/78, 844/90, 844/480) = 9284/6

LCM of 22/78, 844/90, 844/480

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 22/78,844/90,844/480

Given numbers are 22/78,844/90,844/480

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 22,844,844

Least Common Multiple of Numerators i.e. LCM of 22,844,844 is 9284.

GCF of Denominators means GCF of 78,90,480 as per the given fractions.

GCF of 78,90,480 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,844,844

LCM of Fractions 22/78,844/90,844/480 is 9284/6

2 22, 844, 844
2 11, 422, 422
211 11, 211, 211
11, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 211 x 11 x 1 x 1 = 9284

Least Common Multiple of 22,844,844 with GCF Formula

Least Common Multiple of 22,844,844 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 22,844,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,844,844) = 2

common factors(in case of two or more numbers have common factors) = 844

GCF(22,844,844) x common factors =2 x 844 = 1688

LCM(22,844,844) = ( 22 × 844 × 844 ) / 1688

LCM(22,844,844) = 15671392 / 1688

LCM(22,844,844) = 9284


Lets's calculate GCF of 78,90,480

2 78, 90, 480
3 39, 45, 240
13, 15, 80

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9284/6

Therefore the LCM of Fractions 22/78,844/90,844/480 is 9284/6

Greatest Common Factor of 78,90,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,90,480 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 78,90,480 . The biggest common factor number is the GCF number.
So the greatest common factor 78,90,480 is 6.


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 22/78, 844/90, 844/480

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 22/78, 844/90, 844/480?

Answer: LCM of Numerators as per given numbers 22/78, 844/90, 844/480 is

LCM of Numerators i.e. for 22,844,844 is 9284

GCF of denominators i.e. for 78,90,480 is 6.

Thus, LCM of Fractions is 9284/6.Finally, LCM of Fractions for 22/78, 844/90, 844/480 is 9284/6.