Least Common Multiple of 36/694, 512/617, 632/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/694, 512/617, 632/321 quickly i.e. 364032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/694, 512/617, 632/321 is 364032.

LCM(36/694, 512/617, 632/321) = 364032

LCM of 36/694, 512/617, 632/321

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 36/694,512/617,632/321

Given numbers are 36/694,512/617,632/321

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 36,512,632

Least Common Multiple of Numerators i.e. LCM of 36,512,632 is 364032.

GCF of Denominators means GCF of 694,617,321 as per the given fractions.

GCF of 694,617,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,512,632

LCM of Fractions 36/694,512/617,632/321 is 364032

2 36, 512, 632
2 18, 256, 316
2 9, 128, 158
9, 64, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 64 x 79 = 364032

Least Common Multiple of 36,512,632 with GCF Formula

Least Common Multiple of 36,512,632 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 36,512,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,512,632) = 4

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

GCF(36,512,632) x common factors =4 x 8 = 32

LCM(36,512,632) = ( 36 × 512 × 632 ) / 32

LCM(36,512,632) = 11649024 / 32

LCM(36,512,632) = 364032


Lets's calculate GCF of 694,617,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364032/1

Therefore the LCM of Fractions 36/694,512/617,632/321 is 364032

Greatest Common Factor of 694,617,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,617,321 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 694,617,321 . The biggest common factor number is the GCF number.
So the greatest common factor 694,617,321 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 36/694, 512/617, 632/321

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 36/694, 512/617, 632/321?

Answer: LCM of Numerators as per given numbers 36/694, 512/617, 632/321 is

LCM of Numerators i.e. for 36,512,632 is 364032

GCF of denominators i.e. for 694,617,321 is 1.

Thus, LCM of Fractions is 364032.Finally, LCM of Fractions for 36/694, 512/617, 632/321 is 364032.