Least Common Multiple of 51/332, 150/568, 721/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/332, 150/568, 721/514 quickly i.e. 919275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/332, 150/568, 721/514 is 919275.

LCM(51/332, 150/568, 721/514) = 919275

LCM of 51/332, 150/568, 721/514

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 51/332,150/568,721/514

Given numbers are 51/332,150/568,721/514

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 51,150,721

Least Common Multiple of Numerators i.e. LCM of 51,150,721 is 1838550.

GCF of Denominators means GCF of 332,568,514 as per the given fractions.

GCF of 332,568,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,150,721

LCM of Fractions 51/332,150/568,721/514 is 919275

3 51, 150, 721
17, 50, 721

∴ So the LCM of the given numbers is 3 x 17 x 50 x 721 = 1838550

Least Common Multiple of 51,150,721 with GCF Formula

Least Common Multiple of 51,150,721 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 51,150,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,150,721) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,150,721) x common factors =1 x 3 = 3

LCM(51,150,721) = ( 51 × 150 × 721 ) / 3

LCM(51,150,721) = 5515650 / 3

LCM(51,150,721) = 1838550


Lets's calculate GCF of 332,568,514

2 332, 568, 514
166, 284, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1838550/2

Therefore the LCM of Fractions 51/332,150/568,721/514 is 919275

Greatest Common Factor of 332,568,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,568,514 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 332,568,514 . The biggest common factor number is the GCF number.
So the greatest common factor 332,568,514 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 51/332, 150/568, 721/514

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 51/332, 150/568, 721/514?

Answer: LCM of Numerators as per given numbers 51/332, 150/568, 721/514 is

LCM of Numerators i.e. for 51,150,721 is 1838550

GCF of denominators i.e. for 332,568,514 is 2.

Thus, LCM of Fractions is 919275.Finally, LCM of Fractions for 51/332, 150/568, 721/514 is 919275.