Least Common Multiple of 243/138, 495/697, 423/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/138, 495/697, 423/211 quickly i.e. 628155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/138, 495/697, 423/211 is 628155.

LCM(243/138, 495/697, 423/211) = 628155

LCM of 243/138, 495/697, 423/211

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 243/138,495/697,423/211

Given numbers are 243/138,495/697,423/211

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 243,495,423

Least Common Multiple of Numerators i.e. LCM of 243,495,423 is 628155.

GCF of Denominators means GCF of 138,697,211 as per the given fractions.

GCF of 138,697,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,495,423

LCM of Fractions 243/138,495/697,423/211 is 628155

3 243, 495, 423
3 81, 165, 141
27, 55, 47

∴ So the LCM of the given numbers is 3 x 3 x 27 x 55 x 47 = 628155

Least Common Multiple of 243,495,423 with GCF Formula

Least Common Multiple of 243,495,423 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 243,495,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,495,423) = 9

common factors(in case of two or more numbers have common factors) = 9

GCF(243,495,423) x common factors =9 x 9 = 81

LCM(243,495,423) = ( 243 × 495 × 423 ) / 81

LCM(243,495,423) = 50880555 / 81

LCM(243,495,423) = 628155


Lets's calculate GCF of 138,697,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628155/1

Therefore the LCM of Fractions 243/138,495/697,423/211 is 628155

Greatest Common Factor of 138,697,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,697,211 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 138,697,211 . The biggest common factor number is the GCF number.
So the greatest common factor 138,697,211 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 243/138, 495/697, 423/211

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 243/138, 495/697, 423/211?

Answer: LCM of Numerators as per given numbers 243/138, 495/697, 423/211 is

LCM of Numerators i.e. for 243,495,423 is 628155

GCF of denominators i.e. for 138,697,211 is 1.

Thus, LCM of Fractions is 628155.Finally, LCM of Fractions for 243/138, 495/697, 423/211 is 628155.