Least Common Multiple of 712/30, 743/40, 639/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/30, 743/40, 639/408 quickly i.e. 169020612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/30, 743/40, 639/408 is 169020612.

LCM(712/30, 743/40, 639/408) = 169020612

LCM of 712/30, 743/40, 639/408

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 712/30,743/40,639/408

Given numbers are 712/30,743/40,639/408

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 712,743,639

Least Common Multiple of Numerators i.e. LCM of 712,743,639 is 338041224.

GCF of Denominators means GCF of 30,40,408 as per the given fractions.

GCF of 30,40,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,743,639

LCM of Fractions 712/30,743/40,639/408 is 169020612

Given numbers has no common factors except 1. So, there LCM is their product i.e 338041224

Least Common Multiple of 712,743,639 with GCF Formula

Least Common Multiple of 712,743,639 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 712,743,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,743,639) = 1

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

GCF(712,743,639) x common factors =1 x 1 = 1

LCM(712,743,639) = ( 712 × 743 × 639 ) / 1

LCM(712,743,639) = 338041224 / 1

LCM(712,743,639) = 338041224


Lets's calculate GCF of 30,40,408

2 30, 40, 408
15, 20, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338041224/2

Therefore the LCM of Fractions 712/30,743/40,639/408 is 169020612

Greatest Common Factor of 30,40,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,40,408 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 30,40,408 . The biggest common factor number is the GCF number.
So the greatest common factor 30,40,408 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 712/30, 743/40, 639/408

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 712/30, 743/40, 639/408?

Answer: LCM of Numerators as per given numbers 712/30, 743/40, 639/408 is

LCM of Numerators i.e. for 712,743,639 is 338041224

GCF of denominators i.e. for 30,40,408 is 2.

Thus, LCM of Fractions is 169020612.Finally, LCM of Fractions for 712/30, 743/40, 639/408 is 169020612.