Least Common Multiple of 76/384, 16/951, 412/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/384, 16/951, 412/818 quickly i.e. 31312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/384, 16/951, 412/818 is 31312.

LCM(76/384, 16/951, 412/818) = 31312

LCM of 76/384, 16/951, 412/818

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 76/384,16/951,412/818

Given numbers are 76/384,16/951,412/818

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 76,16,412

Least Common Multiple of Numerators i.e. LCM of 76,16,412 is 31312.

GCF of Denominators means GCF of 384,951,818 as per the given fractions.

GCF of 384,951,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,16,412

LCM of Fractions 76/384,16/951,412/818 is 31312

2 76, 16, 412
2 38, 8, 206
19, 4, 103

∴ So the LCM of the given numbers is 2 x 2 x 19 x 4 x 103 = 31312

Least Common Multiple of 76,16,412 with GCF Formula

Least Common Multiple of 76,16,412 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 76,16,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,16,412) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,16,412) x common factors =4 x 4 = 16

LCM(76,16,412) = ( 76 × 16 × 412 ) / 16

LCM(76,16,412) = 500992 / 16

LCM(76,16,412) = 31312


Lets's calculate GCF of 384,951,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31312/1

Therefore the LCM of Fractions 76/384,16/951,412/818 is 31312

Greatest Common Factor of 384,951,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,951,818 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 384,951,818 . The biggest common factor number is the GCF number.
So the greatest common factor 384,951,818 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 76/384, 16/951, 412/818

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 76/384, 16/951, 412/818?

Answer: LCM of Numerators as per given numbers 76/384, 16/951, 412/818 is

LCM of Numerators i.e. for 76,16,412 is 31312

GCF of denominators i.e. for 384,951,818 is 1.

Thus, LCM of Fractions is 31312.Finally, LCM of Fractions for 76/384, 16/951, 412/818 is 31312.