Least Common Multiple of 51/36, 32/303, 820/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/36, 32/303, 820/933 quickly i.e. 111520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/36, 32/303, 820/933 is 111520.

LCM(51/36, 32/303, 820/933) = 111520

LCM of 51/36, 32/303, 820/933

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 51/36,32/303,820/933

Given numbers are 51/36,32/303,820/933

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 51,32,820

Least Common Multiple of Numerators i.e. LCM of 51,32,820 is 334560.

GCF of Denominators means GCF of 36,303,933 as per the given fractions.

GCF of 36,303,933 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,32,820

LCM of Fractions 51/36,32/303,820/933 is 111520

2 51, 32, 820
2 51, 16, 410
51, 8, 205

∴ So the LCM of the given numbers is 2 x 2 x 51 x 8 x 205 = 334560

Least Common Multiple of 51,32,820 with GCF Formula

Least Common Multiple of 51,32,820 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 51,32,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,32,820) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(51,32,820) x common factors =1 x 4 = 4

LCM(51,32,820) = ( 51 × 32 × 820 ) / 4

LCM(51,32,820) = 1338240 / 4

LCM(51,32,820) = 334560


Lets's calculate GCF of 36,303,933

3 36, 303, 933
12, 101, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334560/3

Therefore the LCM of Fractions 51/36,32/303,820/933 is 111520

Greatest Common Factor of 36,303,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,303,933 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 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 36,303,933 . The biggest common factor number is the GCF number.
So the greatest common factor 36,303,933 is 3.


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 51/36, 32/303, 820/933

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 51/36, 32/303, 820/933?

Answer: LCM of Numerators as per given numbers 51/36, 32/303, 820/933 is

LCM of Numerators i.e. for 51,32,820 is 334560

GCF of denominators i.e. for 36,303,933 is 3.

Thus, LCM of Fractions is 111520.Finally, LCM of Fractions for 51/36, 32/303, 820/933 is 111520.