Least Common Multiple of 71/659, 462/36, 796/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/659, 462/36, 796/675 quickly i.e. 13055196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/659, 462/36, 796/675 is 13055196.

LCM(71/659, 462/36, 796/675) = 13055196

LCM of 71/659, 462/36, 796/675

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 71/659,462/36,796/675

Given numbers are 71/659,462/36,796/675

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 71,462,796

Least Common Multiple of Numerators i.e. LCM of 71,462,796 is 13055196.

GCF of Denominators means GCF of 659,36,675 as per the given fractions.

GCF of 659,36,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,462,796

LCM of Fractions 71/659,462/36,796/675 is 13055196

2 71, 462, 796
71, 231, 398

∴ So the LCM of the given numbers is 2 x 71 x 231 x 398 = 13055196

Least Common Multiple of 71,462,796 with GCF Formula

Least Common Multiple of 71,462,796 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 71,462,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,462,796) = 1

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

GCF(71,462,796) x common factors =1 x 2 = 2

LCM(71,462,796) = ( 71 × 462 × 796 ) / 2

LCM(71,462,796) = 26110392 / 2

LCM(71,462,796) = 13055196


Lets's calculate GCF of 659,36,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13055196/1

Therefore the LCM of Fractions 71/659,462/36,796/675 is 13055196

Greatest Common Factor of 659,36,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,36,675 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 659,36,675 . The biggest common factor number is the GCF number.
So the greatest common factor 659,36,675 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 71/659, 462/36, 796/675

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 71/659, 462/36, 796/675?

Answer: LCM of Numerators as per given numbers 71/659, 462/36, 796/675 is

LCM of Numerators i.e. for 71,462,796 is 13055196

GCF of denominators i.e. for 659,36,675 is 1.

Thus, LCM of Fractions is 13055196.Finally, LCM of Fractions for 71/659, 462/36, 796/675 is 13055196.