Least Common Multiple of 331/482, 792/171, 600/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/482, 792/171, 600/626 quickly i.e. 6553800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/482, 792/171, 600/626 is 6553800.

LCM(331/482, 792/171, 600/626) = 6553800

LCM of 331/482, 792/171, 600/626

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 331/482,792/171,600/626

Given numbers are 331/482,792/171,600/626

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 331,792,600

Least Common Multiple of Numerators i.e. LCM of 331,792,600 is 6553800.

GCF of Denominators means GCF of 482,171,626 as per the given fractions.

GCF of 482,171,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,792,600

LCM of Fractions 331/482,792/171,600/626 is 6553800

2 331, 792, 600
2 331, 396, 300
2 331, 198, 150
3 331, 99, 75
331, 33, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 331 x 33 x 25 = 6553800

Least Common Multiple of 331,792,600 with GCF Formula

Least Common Multiple of 331,792,600 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 331,792,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,792,600) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(331,792,600) x common factors =1 x 24 = 24

LCM(331,792,600) = ( 331 × 792 × 600 ) / 24

LCM(331,792,600) = 157291200 / 24

LCM(331,792,600) = 6553800


Lets's calculate GCF of 482,171,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6553800/1

Therefore the LCM of Fractions 331/482,792/171,600/626 is 6553800

Greatest Common Factor of 482,171,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,171,626 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 482,171,626 . The biggest common factor number is the GCF number.
So the greatest common factor 482,171,626 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 331/482, 792/171, 600/626

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 331/482, 792/171, 600/626?

Answer: LCM of Numerators as per given numbers 331/482, 792/171, 600/626 is

LCM of Numerators i.e. for 331,792,600 is 6553800

GCF of denominators i.e. for 482,171,626 is 1.

Thus, LCM of Fractions is 6553800.Finally, LCM of Fractions for 331/482, 792/171, 600/626 is 6553800.