Least Common Multiple of 51/556, 13/150, 702/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/556, 13/150, 702/380 quickly i.e. 5967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/556, 13/150, 702/380 is 5967.

LCM(51/556, 13/150, 702/380) = 5967

LCM of 51/556, 13/150, 702/380

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 51/556,13/150,702/380

Given numbers are 51/556,13/150,702/380

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 51,13,702

Least Common Multiple of Numerators i.e. LCM of 51,13,702 is 11934.

GCF of Denominators means GCF of 556,150,380 as per the given fractions.

GCF of 556,150,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,13,702

LCM of Fractions 51/556,13/150,702/380 is 5967

3 51, 13, 702
13 17, 13, 234
17, 1, 18

∴ So the LCM of the given numbers is 3 x 13 x 17 x 1 x 18 = 11934

Least Common Multiple of 51,13,702 with GCF Formula

Least Common Multiple of 51,13,702 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 51,13,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,13,702) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(51,13,702) x common factors =1 x 39 = 39

LCM(51,13,702) = ( 51 × 13 × 702 ) / 39

LCM(51,13,702) = 465426 / 39

LCM(51,13,702) = 11934


Lets's calculate GCF of 556,150,380

2 556, 150, 380
278, 75, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11934/2

Therefore the LCM of Fractions 51/556,13/150,702/380 is 5967

Greatest Common Factor of 556,150,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,150,380 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 556,150,380 . The biggest common factor number is the GCF number.
So the greatest common factor 556,150,380 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 51/556, 13/150, 702/380

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 51/556, 13/150, 702/380?

Answer: LCM of Numerators as per given numbers 51/556, 13/150, 702/380 is

LCM of Numerators i.e. for 51,13,702 is 11934

GCF of denominators i.e. for 556,150,380 is 2.

Thus, LCM of Fractions is 5967.Finally, LCM of Fractions for 51/556, 13/150, 702/380 is 5967.