Least Common Multiple of 747/54, 405/78, 585/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/54, 405/78, 585/315 quickly i.e. 145665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/54, 405/78, 585/315 is 145665.

LCM(747/54, 405/78, 585/315) = 145665

LCM of 747/54, 405/78, 585/315

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 747/54,405/78,585/315

Given numbers are 747/54,405/78,585/315

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 747,405,585

Least Common Multiple of Numerators i.e. LCM of 747,405,585 is 436995.

GCF of Denominators means GCF of 54,78,315 as per the given fractions.

GCF of 54,78,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,405,585

LCM of Fractions 747/54,405/78,585/315 is 145665

3 747, 405, 585
3 249, 135, 195
5 83, 45, 65
83, 9, 13

∴ So the LCM of the given numbers is 3 x 3 x 5 x 83 x 9 x 13 = 436995

Least Common Multiple of 747,405,585 with GCF Formula

Least Common Multiple of 747,405,585 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 747,405,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,405,585) = 9

common factors(in case of two or more numbers have common factors) = 45

GCF(747,405,585) x common factors =9 x 45 = 405

LCM(747,405,585) = ( 747 × 405 × 585 ) / 405

LCM(747,405,585) = 176982975 / 405

LCM(747,405,585) = 436995


Lets's calculate GCF of 54,78,315

3 54, 78, 315
18, 26, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436995/3

Therefore the LCM of Fractions 747/54,405/78,585/315 is 145665

Greatest Common Factor of 54,78,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,78,315 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 54,78,315 . The biggest common factor number is the GCF number.
So the greatest common factor 54,78,315 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 747/54, 405/78, 585/315

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 747/54, 405/78, 585/315?

Answer: LCM of Numerators as per given numbers 747/54, 405/78, 585/315 is

LCM of Numerators i.e. for 747,405,585 is 436995

GCF of denominators i.e. for 54,78,315 is 3.

Thus, LCM of Fractions is 145665.Finally, LCM of Fractions for 747/54, 405/78, 585/315 is 145665.