Least Common Multiple of 108/243, 850/553, 465/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/243, 850/553, 465/155 quickly i.e. 1422900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/243, 850/553, 465/155 is 1422900.

LCM(108/243, 850/553, 465/155) = 1422900

LCM of 108/243, 850/553, 465/155

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 108/243,850/553,465/155

Given numbers are 108/243,850/553,465/155

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 108,850,465

Least Common Multiple of Numerators i.e. LCM of 108,850,465 is 1422900.

GCF of Denominators means GCF of 243,553,155 as per the given fractions.

GCF of 243,553,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,850,465

LCM of Fractions 108/243,850/553,465/155 is 1422900

2 108, 850, 465
3 54, 425, 465
5 18, 425, 155
18, 85, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 18 x 85 x 31 = 1422900

Least Common Multiple of 108,850,465 with GCF Formula

Least Common Multiple of 108,850,465 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 108,850,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,850,465) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(108,850,465) x common factors =1 x 30 = 30

LCM(108,850,465) = ( 108 × 850 × 465 ) / 30

LCM(108,850,465) = 42687000 / 30

LCM(108,850,465) = 1422900


Lets's calculate GCF of 243,553,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1422900/1

Therefore the LCM of Fractions 108/243,850/553,465/155 is 1422900

Greatest Common Factor of 243,553,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,553,155 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 243,553,155 . The biggest common factor number is the GCF number.
So the greatest common factor 243,553,155 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 108/243, 850/553, 465/155

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 108/243, 850/553, 465/155?

Answer: LCM of Numerators as per given numbers 108/243, 850/553, 465/155 is

LCM of Numerators i.e. for 108,850,465 is 1422900

GCF of denominators i.e. for 243,553,155 is 1.

Thus, LCM of Fractions is 1422900.Finally, LCM of Fractions for 108/243, 850/553, 465/155 is 1422900.