Least Common Multiple of 331/72, 513/38, 332/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/72, 513/38, 332/746 quickly i.e. 28187298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/72, 513/38, 332/746 is 28187298.

LCM(331/72, 513/38, 332/746) = 28187298

LCM of 331/72, 513/38, 332/746

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 331/72,513/38,332/746

Given numbers are 331/72,513/38,332/746

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 331,513,332

Least Common Multiple of Numerators i.e. LCM of 331,513,332 is 56374596.

GCF of Denominators means GCF of 72,38,746 as per the given fractions.

GCF of 72,38,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,513,332

LCM of Fractions 331/72,513/38,332/746 is 28187298

Given numbers has no common factors except 1. So, there LCM is their product i.e 56374596

Least Common Multiple of 331,513,332 with GCF Formula

Least Common Multiple of 331,513,332 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 331,513,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,513,332) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(331,513,332) x common factors =1 x 1 = 1

LCM(331,513,332) = ( 331 × 513 × 332 ) / 1

LCM(331,513,332) = 56374596 / 1

LCM(331,513,332) = 56374596


Lets's calculate GCF of 72,38,746

2 72, 38, 746
36, 19, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56374596/2

Therefore the LCM of Fractions 331/72,513/38,332/746 is 28187298

Greatest Common Factor of 72,38,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,38,746 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 72,38,746 . The biggest common factor number is the GCF number.
So the greatest common factor 72,38,746 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 331/72, 513/38, 332/746

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 331/72, 513/38, 332/746?

Answer: LCM of Numerators as per given numbers 331/72, 513/38, 332/746 is

LCM of Numerators i.e. for 331,513,332 is 56374596

GCF of denominators i.e. for 72,38,746 is 2.

Thus, LCM of Fractions is 28187298.Finally, LCM of Fractions for 331/72, 513/38, 332/746 is 28187298.