Least Common Multiple of 2454/515, 5472/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2454/515, 5472/220 quickly i.e. 2238048/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2454/515, 5472/220 is 2238048/5.

LCM(2454/515, 5472/220) = 2238048/5

LCM of 2454/515, 5472/220

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 2454/515,5472/220

Given numbers are 2454/515,5472/220

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 2454,5472

Least Common Multiple of Numerators i.e. LCM of 2454,5472 is 2238048.

GCF of Denominators means GCF of 515,220 as per the given fractions.

GCF of 515,220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2454,5472

LCM of Fractions 2454/515,5472/220 is 2238048/5

2 2454, 5472
3 1227, 2736
409, 912

∴ So the LCM of the given numbers is 2 x 3 x 409 x 912 = 2238048

Least Common Multiple of 2454,5472 with GCF Formula

Least Common Multiple of 2454,5472 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 2454,5472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2454,5472) = 6

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

GCF(2454,5472) x common factors =6 x 1 = 6

LCM(2454,5472) = ( 2454 × 5472 ) / 6

LCM(2454,5472) = 13428288 / 6

LCM(2454,5472) = 2238048


Lets's calculate GCF of 515,220

5 515, 220
103, 44

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2238048/5

Therefore the LCM of Fractions 2454/515,5472/220 is 2238048/5

Greatest Common Factor of 515,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,220 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 515,220 . The biggest common factor number is the GCF number.
So the greatest common factor 515,220 is 5.


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 2454/515, 5472/220

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 2454/515, 5472/220?

Answer: LCM of Numerators as per given numbers 2454/515, 5472/220 is

LCM of Numerators i.e. for 2454,5472 is 2238048

GCF of denominators i.e. for 515,220 is 5.

Thus, LCM of Fractions is 2238048/5.Finally, LCM of Fractions for 2454/515, 5472/220 is 2238048/5.