Least Common Multiple of 600/13, 734/84, 492/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/13, 734/84, 492/790 quickly i.e. 9028200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/13, 734/84, 492/790 is 9028200.

LCM(600/13, 734/84, 492/790) = 9028200

LCM of 600/13, 734/84, 492/790

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 600/13,734/84,492/790

Given numbers are 600/13,734/84,492/790

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 600,734,492

Least Common Multiple of Numerators i.e. LCM of 600,734,492 is 9028200.

GCF of Denominators means GCF of 13,84,790 as per the given fractions.

GCF of 13,84,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,734,492

LCM of Fractions 600/13,734/84,492/790 is 9028200

2 600, 734, 492
2 300, 367, 246
3 150, 367, 123
50, 367, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 367 x 41 = 9028200

Least Common Multiple of 600,734,492 with GCF Formula

Least Common Multiple of 600,734,492 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 600,734,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,734,492) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(600,734,492) x common factors =2 x 12 = 24

LCM(600,734,492) = ( 600 × 734 × 492 ) / 24

LCM(600,734,492) = 216676800 / 24

LCM(600,734,492) = 9028200


Lets's calculate GCF of 13,84,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9028200/1

Therefore the LCM of Fractions 600/13,734/84,492/790 is 9028200

Greatest Common Factor of 13,84,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,84,790 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 13,84,790 . The biggest common factor number is the GCF number.
So the greatest common factor 13,84,790 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 600/13, 734/84, 492/790

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 600/13, 734/84, 492/790?

Answer: LCM of Numerators as per given numbers 600/13, 734/84, 492/790 is

LCM of Numerators i.e. for 600,734,492 is 9028200

GCF of denominators i.e. for 13,84,790 is 1.

Thus, LCM of Fractions is 9028200.Finally, LCM of Fractions for 600/13, 734/84, 492/790 is 9028200.