Least Common Multiple of 5442/792, 6446/5480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5442/792, 6446/5480 quickly i.e. 17539566/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5442/792, 6446/5480 is 17539566/8.

LCM(5442/792, 6446/5480) = 17539566/8

LCM of 5442/792, 6446/5480

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 5442/792,6446/5480

Given numbers are 5442/792,6446/5480

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 5442,6446

Least Common Multiple of Numerators i.e. LCM of 5442,6446 is 17539566.

GCF of Denominators means GCF of 792,5480 as per the given fractions.

GCF of 792,5480 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5442,6446

LCM of Fractions 5442/792,6446/5480 is 17539566/8

2 5442, 6446
2721, 3223

∴ So the LCM of the given numbers is 2 x 2721 x 3223 = 17539566

Least Common Multiple of 5442,6446 with GCF Formula

Least Common Multiple of 5442,6446 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 5442,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5442,6446) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(5442,6446) x common factors =2 x 1 = 2

LCM(5442,6446) = ( 5442 × 6446 ) / 2

LCM(5442,6446) = 35079132 / 2

LCM(5442,6446) = 17539566


Lets's calculate GCF of 792,5480

2 792, 5480
2 396, 2740
2 198, 1370
99, 685

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17539566/8

Therefore the LCM of Fractions 5442/792,6446/5480 is 17539566/8

Greatest Common Factor of 792,5480 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,5480 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors 792,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 792,5480 is 8.


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 5442/792, 6446/5480

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 5442/792, 6446/5480?

Answer: LCM of Numerators as per given numbers 5442/792, 6446/5480 is

LCM of Numerators i.e. for 5442,6446 is 17539566

GCF of denominators i.e. for 792,5480 is 8.

Thus, LCM of Fractions is 17539566/8.Finally, LCM of Fractions for 5442/792, 6446/5480 is 17539566/8.