Least Common Multiple of 702/36, 512/5636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 702/36, 512/5636 quickly i.e. 44928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 702/36, 512/5636 is 44928.

LCM(702/36, 512/5636) = 44928

LCM of 702/36, 512/5636

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 702/36,512/5636

Given numbers are 702/36,512/5636

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 702,512

Least Common Multiple of Numerators i.e. LCM of 702,512 is 179712.

GCF of Denominators means GCF of 36,5636 as per the given fractions.

GCF of 36,5636 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 702,512

LCM of Fractions 702/36,512/5636 is 44928

2 702, 512
351, 256

∴ So the LCM of the given numbers is 2 x 351 x 256 = 179712

Least Common Multiple of 702,512 with GCF Formula

Least Common Multiple of 702,512 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 702,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,512) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(702,512) x common factors =2 x 1 = 2

LCM(702,512) = ( 702 × 512 ) / 2

LCM(702,512) = 359424 / 2

LCM(702,512) = 179712


Lets's calculate GCF of 36,5636

2 36, 5636
2 18, 2818
9, 1409

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179712/4

Therefore the LCM of Fractions 702/36,512/5636 is 44928

Greatest Common Factor of 36,5636 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,5636 By Matching Biggest Common Factor Method

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 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1,2,4,1409,2818,5636

Greatest Common Factor

We found the factors 36,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5636 is 4.


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 702/36, 512/5636

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 702/36, 512/5636?

Answer: LCM of Numerators as per given numbers 702/36, 512/5636 is

LCM of Numerators i.e. for 702,512 is 179712

GCF of denominators i.e. for 36,5636 is 4.

Thus, LCM of Fractions is 44928.Finally, LCM of Fractions for 702/36, 512/5636 is 44928.