Least Common Multiple of 900/78, 846/2133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/78, 846/2133 quickly i.e. 14100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/78, 846/2133 is 14100.

LCM(900/78, 846/2133) = 14100

LCM of 900/78, 846/2133

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 900/78,846/2133

Given numbers are 900/78,846/2133

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 900,846

Least Common Multiple of Numerators i.e. LCM of 900,846 is 42300.

GCF of Denominators means GCF of 78,2133 as per the given fractions.

GCF of 78,2133 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,846

LCM of Fractions 900/78,846/2133 is 14100

2 900, 846
3 450, 423
3 150, 141
50, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 50 x 47 = 42300

Least Common Multiple of 900,846 with GCF Formula

Least Common Multiple of 900,846 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 900,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,846) = 18

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

GCF(900,846) x common factors =18 x 1 = 18

LCM(900,846) = ( 900 × 846 ) / 18

LCM(900,846) = 761400 / 18

LCM(900,846) = 42300


Lets's calculate GCF of 78,2133

3 78, 2133
26, 711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42300/3

Therefore the LCM of Fractions 900/78,846/2133 is 14100

Greatest Common Factor of 78,2133 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2133 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1,3,9,27,79,237,711,2133

Greatest Common Factor

We found the factors 78,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2133 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 900/78, 846/2133

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 900/78, 846/2133?

Answer: LCM of Numerators as per given numbers 900/78, 846/2133 is

LCM of Numerators i.e. for 900,846 is 42300

GCF of denominators i.e. for 78,2133 is 3.

Thus, LCM of Fractions is 14100.Finally, LCM of Fractions for 900/78, 846/2133 is 14100.