Least Common Multiple of 363/135, 318/162, 576/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/135, 318/162, 576/840 quickly i.e. 1231296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/135, 318/162, 576/840 is 1231296.

LCM(363/135, 318/162, 576/840) = 1231296

LCM of 363/135, 318/162, 576/840

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 363/135,318/162,576/840

Given numbers are 363/135,318/162,576/840

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 363,318,576

Least Common Multiple of Numerators i.e. LCM of 363,318,576 is 3693888.

GCF of Denominators means GCF of 135,162,840 as per the given fractions.

GCF of 135,162,840 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,318,576

LCM of Fractions 363/135,318/162,576/840 is 1231296

2 363, 318, 576
3 363, 159, 288
121, 53, 96

∴ So the LCM of the given numbers is 2 x 3 x 121 x 53 x 96 = 3693888

Least Common Multiple of 363,318,576 with GCF Formula

Least Common Multiple of 363,318,576 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 363,318,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,318,576) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(363,318,576) x common factors =3 x 6 = 18

LCM(363,318,576) = ( 363 × 318 × 576 ) / 18

LCM(363,318,576) = 66489984 / 18

LCM(363,318,576) = 3693888


Lets's calculate GCF of 135,162,840

3 135, 162, 840
45, 54, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3693888/3

Therefore the LCM of Fractions 363/135,318/162,576/840 is 1231296

Greatest Common Factor of 135,162,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,162,840 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

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

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 135,162,840 . The biggest common factor number is the GCF number.
So the greatest common factor 135,162,840 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 363/135, 318/162, 576/840

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 363/135, 318/162, 576/840?

Answer: LCM of Numerators as per given numbers 363/135, 318/162, 576/840 is

LCM of Numerators i.e. for 363,318,576 is 3693888

GCF of denominators i.e. for 135,162,840 is 3.

Thus, LCM of Fractions is 1231296.Finally, LCM of Fractions for 363/135, 318/162, 576/840 is 1231296.