Least Common Multiple of 253/54, 989/44, 460/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/54, 989/44, 460/80 quickly i.e. 108790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/54, 989/44, 460/80 is 108790.

LCM(253/54, 989/44, 460/80) = 108790

LCM of 253/54, 989/44, 460/80

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 253/54,989/44,460/80

Given numbers are 253/54,989/44,460/80

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 253,989,460

Least Common Multiple of Numerators i.e. LCM of 253,989,460 is 217580.

GCF of Denominators means GCF of 54,44,80 as per the given fractions.

GCF of 54,44,80 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,989,460

LCM of Fractions 253/54,989/44,460/80 is 108790

23 253, 989, 460
11, 43, 20

∴ So the LCM of the given numbers is 23 x 11 x 43 x 20 = 217580

Least Common Multiple of 253,989,460 with GCF Formula

Least Common Multiple of 253,989,460 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 253,989,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,989,460) = 23

common factors(in case of two or more numbers have common factors) = 23

GCF(253,989,460) x common factors =23 x 23 = 529

LCM(253,989,460) = ( 253 × 989 × 460 ) / 529

LCM(253,989,460) = 115099820 / 529

LCM(253,989,460) = 217580


Lets's calculate GCF of 54,44,80

2 54, 44, 80
27, 22, 40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217580/2

Therefore the LCM of Fractions 253/54,989/44,460/80 is 108790

Greatest Common Factor of 54,44,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,44,80 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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

Greatest Common Factor

We found the factors 54,44,80 . The biggest common factor number is the GCF number.
So the greatest common factor 54,44,80 is 2.


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 253/54, 989/44, 460/80

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 253/54, 989/44, 460/80?

Answer: LCM of Numerators as per given numbers 253/54, 989/44, 460/80 is

LCM of Numerators i.e. for 253,989,460 is 217580

GCF of denominators i.e. for 54,44,80 is 2.

Thus, LCM of Fractions is 108790.Finally, LCM of Fractions for 253/54, 989/44, 460/80 is 108790.