Least Common Multiple of 428/80, 653/5504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/80, 653/5504 quickly i.e. 279484/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/80, 653/5504 is 279484/16.

LCM(428/80, 653/5504) = 279484/16

LCM of 428/80, 653/5504

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 428/80,653/5504

Given numbers are 428/80,653/5504

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 428,653

Least Common Multiple of Numerators i.e. LCM of 428,653 is 279484.

GCF of Denominators means GCF of 80,5504 as per the given fractions.

GCF of 80,5504 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,653

LCM of Fractions 428/80,653/5504 is 279484/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 279484

Least Common Multiple of 428,653 with GCF Formula

Least Common Multiple of 428,653 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 428,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,653) = 1

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

GCF(428,653) x common factors =1 x 1 = 1

LCM(428,653) = ( 428 × 653 ) / 1

LCM(428,653) = 279484 / 1

LCM(428,653) = 279484


Lets's calculate GCF of 80,5504

2 80, 5504
2 40, 2752
2 20, 1376
2 10, 688
5, 344

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279484/16

Therefore the LCM of Fractions 428/80,653/5504 is 279484/16

Greatest Common Factor of 80,5504 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5504 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Greatest Common Factor

We found the factors 80,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5504 is 16.


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 428/80, 653/5504

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 428/80, 653/5504?

Answer: LCM of Numerators as per given numbers 428/80, 653/5504 is

LCM of Numerators i.e. for 428,653 is 279484

GCF of denominators i.e. for 80,5504 is 16.

Thus, LCM of Fractions is 279484/16.Finally, LCM of Fractions for 428/80, 653/5504 is 279484/16.