Least Common Multiple of 405/495, 201/322, 872/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/495, 201/322, 872/702 quickly i.e. 23661720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/495, 201/322, 872/702 is 23661720.

LCM(405/495, 201/322, 872/702) = 23661720

LCM of 405/495, 201/322, 872/702

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 405/495,201/322,872/702

Given numbers are 405/495,201/322,872/702

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 405,201,872

Least Common Multiple of Numerators i.e. LCM of 405,201,872 is 23661720.

GCF of Denominators means GCF of 495,322,702 as per the given fractions.

GCF of 495,322,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,201,872

LCM of Fractions 405/495,201/322,872/702 is 23661720

3 405, 201, 872
135, 67, 872

∴ So the LCM of the given numbers is 3 x 135 x 67 x 872 = 23661720

Least Common Multiple of 405,201,872 with GCF Formula

Least Common Multiple of 405,201,872 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 405,201,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,201,872) = 1

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

GCF(405,201,872) x common factors =1 x 3 = 3

LCM(405,201,872) = ( 405 × 201 × 872 ) / 3

LCM(405,201,872) = 70985160 / 3

LCM(405,201,872) = 23661720


Lets's calculate GCF of 495,322,702

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23661720/1

Therefore the LCM of Fractions 405/495,201/322,872/702 is 23661720

Greatest Common Factor of 495,322,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,322,702 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 495,322,702 . The biggest common factor number is the GCF number.
So the greatest common factor 495,322,702 is 1.


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 405/495, 201/322, 872/702

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 405/495, 201/322, 872/702?

Answer: LCM of Numerators as per given numbers 405/495, 201/322, 872/702 is

LCM of Numerators i.e. for 405,201,872 is 23661720

GCF of denominators i.e. for 495,322,702 is 1.

Thus, LCM of Fractions is 23661720.Finally, LCM of Fractions for 405/495, 201/322, 872/702 is 23661720.