Least Common Multiple of 69/732, 31/120, 219/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/732, 31/120, 219/405 quickly i.e. 52049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/732, 31/120, 219/405 is 52049.

LCM(69/732, 31/120, 219/405) = 52049

LCM of 69/732, 31/120, 219/405

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 69/732,31/120,219/405

Given numbers are 69/732,31/120,219/405

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 69,31,219

Least Common Multiple of Numerators i.e. LCM of 69,31,219 is 156147.

GCF of Denominators means GCF of 732,120,405 as per the given fractions.

GCF of 732,120,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,31,219

LCM of Fractions 69/732,31/120,219/405 is 52049

3 69, 31, 219
23, 31, 73

∴ So the LCM of the given numbers is 3 x 23 x 31 x 73 = 156147

Least Common Multiple of 69,31,219 with GCF Formula

Least Common Multiple of 69,31,219 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 69,31,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,31,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,31,219) x common factors =1 x 3 = 3

LCM(69,31,219) = ( 69 × 31 × 219 ) / 3

LCM(69,31,219) = 468441 / 3

LCM(69,31,219) = 156147


Lets's calculate GCF of 732,120,405

3 732, 120, 405
244, 40, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156147/3

Therefore the LCM of Fractions 69/732,31/120,219/405 is 52049

Greatest Common Factor of 732,120,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,120,405 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 732,120,405 . The biggest common factor number is the GCF number.
So the greatest common factor 732,120,405 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 69/732, 31/120, 219/405

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 69/732, 31/120, 219/405?

Answer: LCM of Numerators as per given numbers 69/732, 31/120, 219/405 is

LCM of Numerators i.e. for 69,31,219 is 156147

GCF of denominators i.e. for 732,120,405 is 3.

Thus, LCM of Fractions is 52049.Finally, LCM of Fractions for 69/732, 31/120, 219/405 is 52049.