Least Common Multiple of 30/298, 420/521, 918/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/298, 420/521, 918/596 quickly i.e. 64260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/298, 420/521, 918/596 is 64260.

LCM(30/298, 420/521, 918/596) = 64260

LCM of 30/298, 420/521, 918/596

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 30/298,420/521,918/596

Given numbers are 30/298,420/521,918/596

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 30,420,918

Least Common Multiple of Numerators i.e. LCM of 30,420,918 is 64260.

GCF of Denominators means GCF of 298,521,596 as per the given fractions.

GCF of 298,521,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,420,918

LCM of Fractions 30/298,420/521,918/596 is 64260

2 30, 420, 918
3 15, 210, 459
5 5, 70, 153
1, 14, 153

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 14 x 153 = 64260

Least Common Multiple of 30,420,918 with GCF Formula

Least Common Multiple of 30,420,918 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 30,420,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,420,918) = 6

common factors(in case of two or more numbers have common factors) = 30

GCF(30,420,918) x common factors =6 x 30 = 180

LCM(30,420,918) = ( 30 × 420 × 918 ) / 180

LCM(30,420,918) = 11566800 / 180

LCM(30,420,918) = 64260


Lets's calculate GCF of 298,521,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64260/1

Therefore the LCM of Fractions 30/298,420/521,918/596 is 64260

Greatest Common Factor of 298,521,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,521,596 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 521

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

1,521

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 298,521,596 . The biggest common factor number is the GCF number.
So the greatest common factor 298,521,596 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 30/298, 420/521, 918/596

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 30/298, 420/521, 918/596?

Answer: LCM of Numerators as per given numbers 30/298, 420/521, 918/596 is

LCM of Numerators i.e. for 30,420,918 is 64260

GCF of denominators i.e. for 298,521,596 is 1.

Thus, LCM of Fractions is 64260.Finally, LCM of Fractions for 30/298, 420/521, 918/596 is 64260.