Least Common Multiple of 36/32, 645/58, 151/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/32, 645/58, 151/286 quickly i.e. 584370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/32, 645/58, 151/286 is 584370.

LCM(36/32, 645/58, 151/286) = 584370

LCM of 36/32, 645/58, 151/286

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 36/32,645/58,151/286

Given numbers are 36/32,645/58,151/286

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 36,645,151

Least Common Multiple of Numerators i.e. LCM of 36,645,151 is 1168740.

GCF of Denominators means GCF of 32,58,286 as per the given fractions.

GCF of 32,58,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,645,151

LCM of Fractions 36/32,645/58,151/286 is 584370

3 36, 645, 151
12, 215, 151

∴ So the LCM of the given numbers is 3 x 12 x 215 x 151 = 1168740

Least Common Multiple of 36,645,151 with GCF Formula

Least Common Multiple of 36,645,151 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 36,645,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,645,151) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,645,151) x common factors =1 x 3 = 3

LCM(36,645,151) = ( 36 × 645 × 151 ) / 3

LCM(36,645,151) = 3506220 / 3

LCM(36,645,151) = 1168740


Lets's calculate GCF of 32,58,286

2 32, 58, 286
16, 29, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1168740/2

Therefore the LCM of Fractions 36/32,645/58,151/286 is 584370

Greatest Common Factor of 32,58,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,58,286 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 32,58,286 . The biggest common factor number is the GCF number.
So the greatest common factor 32,58,286 is 2.


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 36/32, 645/58, 151/286

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 36/32, 645/58, 151/286?

Answer: LCM of Numerators as per given numbers 36/32, 645/58, 151/286 is

LCM of Numerators i.e. for 36,645,151 is 1168740

GCF of denominators i.e. for 32,58,286 is 2.

Thus, LCM of Fractions is 584370.Finally, LCM of Fractions for 36/32, 645/58, 151/286 is 584370.