Least Common Multiple of 84/381, 48/180, 454/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/381, 48/180, 454/898 quickly i.e. 76272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/381, 48/180, 454/898 is 76272.

LCM(84/381, 48/180, 454/898) = 76272

LCM of 84/381, 48/180, 454/898

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 84/381,48/180,454/898

Given numbers are 84/381,48/180,454/898

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 84,48,454

Least Common Multiple of Numerators i.e. LCM of 84,48,454 is 76272.

GCF of Denominators means GCF of 381,180,898 as per the given fractions.

GCF of 381,180,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,48,454

LCM of Fractions 84/381,48/180,454/898 is 76272

2 84, 48, 454
2 42, 24, 227
3 21, 12, 227
7, 4, 227

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 4 x 227 = 76272

Least Common Multiple of 84,48,454 with GCF Formula

Least Common Multiple of 84,48,454 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 84,48,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,48,454) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,48,454) x common factors =2 x 12 = 24

LCM(84,48,454) = ( 84 × 48 × 454 ) / 24

LCM(84,48,454) = 1830528 / 24

LCM(84,48,454) = 76272


Lets's calculate GCF of 381,180,898

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76272/1

Therefore the LCM of Fractions 84/381,48/180,454/898 is 76272

Greatest Common Factor of 381,180,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,180,898 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 381,180,898 . The biggest common factor number is the GCF number.
So the greatest common factor 381,180,898 is 1.


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 84/381, 48/180, 454/898

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 84/381, 48/180, 454/898?

Answer: LCM of Numerators as per given numbers 84/381, 48/180, 454/898 is

LCM of Numerators i.e. for 84,48,454 is 76272

GCF of denominators i.e. for 381,180,898 is 1.

Thus, LCM of Fractions is 76272.Finally, LCM of Fractions for 84/381, 48/180, 454/898 is 76272.