Least Common Multiple of 30/420, 44/984, 155/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/420, 44/984, 155/521 quickly i.e. 20460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/420, 44/984, 155/521 is 20460.

LCM(30/420, 44/984, 155/521) = 20460

LCM of 30/420, 44/984, 155/521

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 30/420,44/984,155/521

Given numbers are 30/420,44/984,155/521

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 30,44,155

Least Common Multiple of Numerators i.e. LCM of 30,44,155 is 20460.

GCF of Denominators means GCF of 420,984,521 as per the given fractions.

GCF of 420,984,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,44,155

LCM of Fractions 30/420,44/984,155/521 is 20460

2 30, 44, 155
5 15, 22, 155
3, 22, 31

∴ So the LCM of the given numbers is 2 x 5 x 3 x 22 x 31 = 20460

Least Common Multiple of 30,44,155 with GCF Formula

Least Common Multiple of 30,44,155 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 30,44,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,44,155) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,44,155) x common factors =1 x 10 = 10

LCM(30,44,155) = ( 30 × 44 × 155 ) / 10

LCM(30,44,155) = 204600 / 10

LCM(30,44,155) = 20460


Lets's calculate GCF of 420,984,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20460/1

Therefore the LCM of Fractions 30/420,44/984,155/521 is 20460

Greatest Common Factor of 420,984,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,984,521 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 420,984,521 . The biggest common factor number is the GCF number.
So the greatest common factor 420,984,521 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 30/420, 44/984, 155/521

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 30/420, 44/984, 155/521?

Answer: LCM of Numerators as per given numbers 30/420, 44/984, 155/521 is

LCM of Numerators i.e. for 30,44,155 is 20460

GCF of denominators i.e. for 420,984,521 is 1.

Thus, LCM of Fractions is 20460.Finally, LCM of Fractions for 30/420, 44/984, 155/521 is 20460.