Least Common Multiple of 55/36, 192/78, 144/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/36, 192/78, 144/921 quickly i.e. 10560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/36, 192/78, 144/921 is 10560.

LCM(55/36, 192/78, 144/921) = 10560

LCM of 55/36, 192/78, 144/921

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 55/36,192/78,144/921

Given numbers are 55/36,192/78,144/921

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 55,192,144

Least Common Multiple of Numerators i.e. LCM of 55,192,144 is 31680.

GCF of Denominators means GCF of 36,78,921 as per the given fractions.

GCF of 36,78,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,192,144

LCM of Fractions 55/36,192/78,144/921 is 10560

2 55, 192, 144
2 55, 96, 72
2 55, 48, 36
2 55, 24, 18
3 55, 12, 9
55, 4, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 55 x 4 x 3 = 31680

Least Common Multiple of 55,192,144 with GCF Formula

Least Common Multiple of 55,192,144 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 55,192,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,192,144) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(55,192,144) x common factors =1 x 48 = 48

LCM(55,192,144) = ( 55 × 192 × 144 ) / 48

LCM(55,192,144) = 1520640 / 48

LCM(55,192,144) = 31680


Lets's calculate GCF of 36,78,921

3 36, 78, 921
12, 26, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31680/3

Therefore the LCM of Fractions 55/36,192/78,144/921 is 10560

Greatest Common Factor of 36,78,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,78,921 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 78

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

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

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 36,78,921 . The biggest common factor number is the GCF number.
So the greatest common factor 36,78,921 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 55/36, 192/78, 144/921

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 55/36, 192/78, 144/921?

Answer: LCM of Numerators as per given numbers 55/36, 192/78, 144/921 is

LCM of Numerators i.e. for 55,192,144 is 31680

GCF of denominators i.e. for 36,78,921 is 3.

Thus, LCM of Fractions is 10560.Finally, LCM of Fractions for 55/36, 192/78, 144/921 is 10560.