Least Common Multiple of 30/520, 93/398, 966/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/520, 93/398, 966/119 quickly i.e. 149730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/520, 93/398, 966/119 is 149730.

LCM(30/520, 93/398, 966/119) = 149730

LCM of 30/520, 93/398, 966/119

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 30/520,93/398,966/119

Given numbers are 30/520,93/398,966/119

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 30,93,966

Least Common Multiple of Numerators i.e. LCM of 30,93,966 is 149730.

GCF of Denominators means GCF of 520,398,119 as per the given fractions.

GCF of 520,398,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,93,966

LCM of Fractions 30/520,93/398,966/119 is 149730

2 30, 93, 966
3 15, 93, 483
5, 31, 161

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 161 = 149730

Least Common Multiple of 30,93,966 with GCF Formula

Least Common Multiple of 30,93,966 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 30,93,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,93,966) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(30,93,966) x common factors =3 x 6 = 18

LCM(30,93,966) = ( 30 × 93 × 966 ) / 18

LCM(30,93,966) = 2695140 / 18

LCM(30,93,966) = 149730


Lets's calculate GCF of 520,398,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149730/1

Therefore the LCM of Fractions 30/520,93/398,966/119 is 149730

Greatest Common Factor of 520,398,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,398,119 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 520,398,119 . The biggest common factor number is the GCF number.
So the greatest common factor 520,398,119 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 30/520, 93/398, 966/119

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 30/520, 93/398, 966/119?

Answer: LCM of Numerators as per given numbers 30/520, 93/398, 966/119 is

LCM of Numerators i.e. for 30,93,966 is 149730

GCF of denominators i.e. for 520,398,119 is 1.

Thus, LCM of Fractions is 149730.Finally, LCM of Fractions for 30/520, 93/398, 966/119 is 149730.