Least Common Multiple of 15/252, 54/723, 785/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/252, 54/723, 785/165 quickly i.e. 14130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/252, 54/723, 785/165 is 14130.

LCM(15/252, 54/723, 785/165) = 14130

LCM of 15/252, 54/723, 785/165

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 15/252,54/723,785/165

Given numbers are 15/252,54/723,785/165

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 15,54,785

Least Common Multiple of Numerators i.e. LCM of 15,54,785 is 42390.

GCF of Denominators means GCF of 252,723,165 as per the given fractions.

GCF of 252,723,165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,54,785

LCM of Fractions 15/252,54/723,785/165 is 14130

3 15, 54, 785
5 5, 18, 785
1, 18, 157

∴ So the LCM of the given numbers is 3 x 5 x 1 x 18 x 157 = 42390

Least Common Multiple of 15,54,785 with GCF Formula

Least Common Multiple of 15,54,785 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 15,54,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,54,785) = 1

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

GCF(15,54,785) x common factors =1 x 15 = 15

LCM(15,54,785) = ( 15 × 54 × 785 ) / 15

LCM(15,54,785) = 635850 / 15

LCM(15,54,785) = 42390


Lets's calculate GCF of 252,723,165

3 252, 723, 165
84, 241, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42390/3

Therefore the LCM of Fractions 15/252,54/723,785/165 is 14130

Greatest Common Factor of 252,723,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,723,165 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 252,723,165 . The biggest common factor number is the GCF number.
So the greatest common factor 252,723,165 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 15/252, 54/723, 785/165

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 15/252, 54/723, 785/165?

Answer: LCM of Numerators as per given numbers 15/252, 54/723, 785/165 is

LCM of Numerators i.e. for 15,54,785 is 42390

GCF of denominators i.e. for 252,723,165 is 3.

Thus, LCM of Fractions is 14130.Finally, LCM of Fractions for 15/252, 54/723, 785/165 is 14130.