Least Common Multiple of 76/59, 12/335, 829/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/59, 12/335, 829/264 quickly i.e. 189012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/59, 12/335, 829/264 is 189012.

LCM(76/59, 12/335, 829/264) = 189012

LCM of 76/59, 12/335, 829/264

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 76/59,12/335,829/264

Given numbers are 76/59,12/335,829/264

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 76,12,829

Least Common Multiple of Numerators i.e. LCM of 76,12,829 is 189012.

GCF of Denominators means GCF of 59,335,264 as per the given fractions.

GCF of 59,335,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,12,829

LCM of Fractions 76/59,12/335,829/264 is 189012

2 76, 12, 829
2 38, 6, 829
19, 3, 829

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 829 = 189012

Least Common Multiple of 76,12,829 with GCF Formula

Least Common Multiple of 76,12,829 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 76,12,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,12,829) = 1

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

GCF(76,12,829) x common factors =1 x 4 = 4

LCM(76,12,829) = ( 76 × 12 × 829 ) / 4

LCM(76,12,829) = 756048 / 4

LCM(76,12,829) = 189012


Lets's calculate GCF of 59,335,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189012/1

Therefore the LCM of Fractions 76/59,12/335,829/264 is 189012

Greatest Common Factor of 59,335,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,335,264 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 59,335,264 . The biggest common factor number is the GCF number.
So the greatest common factor 59,335,264 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 76/59, 12/335, 829/264

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 76/59, 12/335, 829/264?

Answer: LCM of Numerators as per given numbers 76/59, 12/335, 829/264 is

LCM of Numerators i.e. for 76,12,829 is 189012

GCF of denominators i.e. for 59,335,264 is 1.

Thus, LCM of Fractions is 189012.Finally, LCM of Fractions for 76/59, 12/335, 829/264 is 189012.