Least Common Multiple of 766/41, 604/62, 524/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/41, 604/62, 524/675 quickly i.e. 30304492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/41, 604/62, 524/675 is 30304492.

LCM(766/41, 604/62, 524/675) = 30304492

LCM of 766/41, 604/62, 524/675

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 766/41,604/62,524/675

Given numbers are 766/41,604/62,524/675

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 766,604,524

Least Common Multiple of Numerators i.e. LCM of 766,604,524 is 30304492.

GCF of Denominators means GCF of 41,62,675 as per the given fractions.

GCF of 41,62,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,604,524

LCM of Fractions 766/41,604/62,524/675 is 30304492

2 766, 604, 524
2 383, 302, 262
383, 151, 131

∴ So the LCM of the given numbers is 2 x 2 x 383 x 151 x 131 = 30304492

Least Common Multiple of 766,604,524 with GCF Formula

Least Common Multiple of 766,604,524 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 766,604,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,604,524) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(766,604,524) x common factors =2 x 4 = 8

LCM(766,604,524) = ( 766 × 604 × 524 ) / 8

LCM(766,604,524) = 242435936 / 8

LCM(766,604,524) = 30304492


Lets's calculate GCF of 41,62,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30304492/1

Therefore the LCM of Fractions 766/41,604/62,524/675 is 30304492

Greatest Common Factor of 41,62,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,62,675 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 41,62,675 . The biggest common factor number is the GCF number.
So the greatest common factor 41,62,675 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 766/41, 604/62, 524/675

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 766/41, 604/62, 524/675?

Answer: LCM of Numerators as per given numbers 766/41, 604/62, 524/675 is

LCM of Numerators i.e. for 766,604,524 is 30304492

GCF of denominators i.e. for 41,62,675 is 1.

Thus, LCM of Fractions is 30304492.Finally, LCM of Fractions for 766/41, 604/62, 524/675 is 30304492.