Least Common Multiple of 59/12, 672/12, 536/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/12, 672/12, 536/711 quickly i.e. 885472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/12, 672/12, 536/711 is 885472.

LCM(59/12, 672/12, 536/711) = 885472

LCM of 59/12, 672/12, 536/711

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 59/12,672/12,536/711

Given numbers are 59/12,672/12,536/711

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 59,672,536

Least Common Multiple of Numerators i.e. LCM of 59,672,536 is 2656416.

GCF of Denominators means GCF of 12,12,711 as per the given fractions.

GCF of 12,12,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,672,536

LCM of Fractions 59/12,672/12,536/711 is 885472

2 59, 672, 536
2 59, 336, 268
2 59, 168, 134
59, 84, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 84 x 67 = 2656416

Least Common Multiple of 59,672,536 with GCF Formula

Least Common Multiple of 59,672,536 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 59,672,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,672,536) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(59,672,536) x common factors =1 x 8 = 8

LCM(59,672,536) = ( 59 × 672 × 536 ) / 8

LCM(59,672,536) = 21251328 / 8

LCM(59,672,536) = 2656416


Lets's calculate GCF of 12,12,711

3 12, 12, 711
4, 4, 237

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2656416/3

Therefore the LCM of Fractions 59/12,672/12,536/711 is 885472

Greatest Common Factor of 12,12,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,12,711 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 12,12,711 . The biggest common factor number is the GCF number.
So the greatest common factor 12,12,711 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/12, 672/12, 536/711

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 59/12, 672/12, 536/711?

Answer: LCM of Numerators as per given numbers 59/12, 672/12, 536/711 is

LCM of Numerators i.e. for 59,672,536 is 2656416

GCF of denominators i.e. for 12,12,711 is 3.

Thus, LCM of Fractions is 885472.Finally, LCM of Fractions for 59/12, 672/12, 536/711 is 885472.