Least Common Multiple of 399/52, 150/76, 150/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/52, 150/76, 150/414 quickly i.e. 9975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/52, 150/76, 150/414 is 9975.

LCM(399/52, 150/76, 150/414) = 9975

LCM of 399/52, 150/76, 150/414

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 399/52,150/76,150/414

Given numbers are 399/52,150/76,150/414

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 399,150,150

Least Common Multiple of Numerators i.e. LCM of 399,150,150 is 19950.

GCF of Denominators means GCF of 52,76,414 as per the given fractions.

GCF of 52,76,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,150,150

LCM of Fractions 399/52,150/76,150/414 is 9975

2 399, 150, 150
3 399, 75, 75
5 133, 25, 25
5 133, 5, 5
133, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 133 x 1 x 1 = 19950

Least Common Multiple of 399,150,150 with GCF Formula

Least Common Multiple of 399,150,150 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 399,150,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,150,150) = 3

common factors(in case of two or more numbers have common factors) = 150

GCF(399,150,150) x common factors =3 x 150 = 450

LCM(399,150,150) = ( 399 × 150 × 150 ) / 450

LCM(399,150,150) = 8977500 / 450

LCM(399,150,150) = 19950


Lets's calculate GCF of 52,76,414

2 52, 76, 414
26, 38, 207

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19950/2

Therefore the LCM of Fractions 399/52,150/76,150/414 is 9975

Greatest Common Factor of 52,76,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,76,414 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 52,76,414 . The biggest common factor number is the GCF number.
So the greatest common factor 52,76,414 is 2.


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 399/52, 150/76, 150/414

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 399/52, 150/76, 150/414?

Answer: LCM of Numerators as per given numbers 399/52, 150/76, 150/414 is

LCM of Numerators i.e. for 399,150,150 is 19950

GCF of denominators i.e. for 52,76,414 is 2.

Thus, LCM of Fractions is 9975.Finally, LCM of Fractions for 399/52, 150/76, 150/414 is 9975.