Least Common Multiple of 5472/420, 9075/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5472/420, 9075/190 quickly i.e. 1655280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5472/420, 9075/190 is 1655280.

LCM(5472/420, 9075/190) = 1655280

LCM of 5472/420, 9075/190

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 5472/420,9075/190

Given numbers are 5472/420,9075/190

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 5472,9075

Least Common Multiple of Numerators i.e. LCM of 5472,9075 is 16552800.

GCF of Denominators means GCF of 420,190 as per the given fractions.

GCF of 420,190 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5472,9075

LCM of Fractions 5472/420,9075/190 is 1655280

3 5472, 9075
1824, 3025

∴ So the LCM of the given numbers is 3 x 1824 x 3025 = 16552800

Least Common Multiple of 5472,9075 with GCF Formula

Least Common Multiple of 5472,9075 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 5472,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5472,9075) = 3

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

GCF(5472,9075) x common factors =3 x 1 = 3

LCM(5472,9075) = ( 5472 × 9075 ) / 3

LCM(5472,9075) = 49658400 / 3

LCM(5472,9075) = 16552800


Lets's calculate GCF of 420,190

2 420, 190
5 210, 95
42, 19

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16552800/10

Therefore the LCM of Fractions 5472/420,9075/190 is 1655280

Greatest Common Factor of 420,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,190 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 420,190 . The biggest common factor number is the GCF number.
So the greatest common factor 420,190 is 10.


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 5472/420, 9075/190

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 5472/420, 9075/190?

Answer: LCM of Numerators as per given numbers 5472/420, 9075/190 is

LCM of Numerators i.e. for 5472,9075 is 16552800

GCF of denominators i.e. for 420,190 is 10.

Thus, LCM of Fractions is 1655280.Finally, LCM of Fractions for 5472/420, 9075/190 is 1655280.