Least Common Multiple of 74/789, 76/587, 237/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/789, 76/587, 237/408 quickly i.e. 666444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/789, 76/587, 237/408 is 666444.

LCM(74/789, 76/587, 237/408) = 666444

LCM of 74/789, 76/587, 237/408

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 74/789,76/587,237/408

Given numbers are 74/789,76/587,237/408

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 74,76,237

Least Common Multiple of Numerators i.e. LCM of 74,76,237 is 666444.

GCF of Denominators means GCF of 789,587,408 as per the given fractions.

GCF of 789,587,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,76,237

LCM of Fractions 74/789,76/587,237/408 is 666444

2 74, 76, 237
37, 38, 237

∴ So the LCM of the given numbers is 2 x 37 x 38 x 237 = 666444

Least Common Multiple of 74,76,237 with GCF Formula

Least Common Multiple of 74,76,237 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 74,76,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,76,237) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,76,237) x common factors =1 x 2 = 2

LCM(74,76,237) = ( 74 × 76 × 237 ) / 2

LCM(74,76,237) = 1332888 / 2

LCM(74,76,237) = 666444


Lets's calculate GCF of 789,587,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666444/1

Therefore the LCM of Fractions 74/789,76/587,237/408 is 666444

Greatest Common Factor of 789,587,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,587,408 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

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 789,587,408 . The biggest common factor number is the GCF number.
So the greatest common factor 789,587,408 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 74/789, 76/587, 237/408

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 74/789, 76/587, 237/408?

Answer: LCM of Numerators as per given numbers 74/789, 76/587, 237/408 is

LCM of Numerators i.e. for 74,76,237 is 666444

GCF of denominators i.e. for 789,587,408 is 1.

Thus, LCM of Fractions is 666444.Finally, LCM of Fractions for 74/789, 76/587, 237/408 is 666444.