Least Common Multiple of 45/24, 192/78, 565/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/24, 192/78, 565/141 quickly i.e. 108480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/24, 192/78, 565/141 is 108480.

LCM(45/24, 192/78, 565/141) = 108480

LCM of 45/24, 192/78, 565/141

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 45/24,192/78,565/141

Given numbers are 45/24,192/78,565/141

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 45,192,565

Least Common Multiple of Numerators i.e. LCM of 45,192,565 is 325440.

GCF of Denominators means GCF of 24,78,141 as per the given fractions.

GCF of 24,78,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,192,565

LCM of Fractions 45/24,192/78,565/141 is 108480

3 45, 192, 565
5 15, 64, 565
3, 64, 113

∴ So the LCM of the given numbers is 3 x 5 x 3 x 64 x 113 = 325440

Least Common Multiple of 45,192,565 with GCF Formula

Least Common Multiple of 45,192,565 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 45,192,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,192,565) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,192,565) x common factors =1 x 15 = 15

LCM(45,192,565) = ( 45 × 192 × 565 ) / 15

LCM(45,192,565) = 4881600 / 15

LCM(45,192,565) = 325440


Lets's calculate GCF of 24,78,141

3 24, 78, 141
8, 26, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325440/3

Therefore the LCM of Fractions 45/24,192/78,565/141 is 108480

Greatest Common Factor of 24,78,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,78,141 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 24,78,141 . The biggest common factor number is the GCF number.
So the greatest common factor 24,78,141 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 45/24, 192/78, 565/141

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 45/24, 192/78, 565/141?

Answer: LCM of Numerators as per given numbers 45/24, 192/78, 565/141 is

LCM of Numerators i.e. for 45,192,565 is 325440

GCF of denominators i.e. for 24,78,141 is 3.

Thus, LCM of Fractions is 108480.Finally, LCM of Fractions for 45/24, 192/78, 565/141 is 108480.