Least Common Multiple of 273/153, 4389/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/153, 4389/918 quickly i.e. 57057/153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/153, 4389/918 is 57057/153.

LCM(273/153, 4389/918) = 57057/153

LCM of 273/153, 4389/918

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 273/153,4389/918

Given numbers are 273/153,4389/918

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 273,4389

Least Common Multiple of Numerators i.e. LCM of 273,4389 is 57057.

GCF of Denominators means GCF of 153,918 as per the given fractions.

GCF of 153,918 is 153 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,4389

LCM of Fractions 273/153,4389/918 is 57057/153

3 273, 4389
7 91, 1463
13, 209

∴ So the LCM of the given numbers is 3 x 7 x 13 x 209 = 57057

Least Common Multiple of 273,4389 with GCF Formula

Least Common Multiple of 273,4389 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 273,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,4389) = 21

common factors(in case of two or more numbers have common factors) = 1

GCF(273,4389) x common factors =21 x 1 = 21

LCM(273,4389) = ( 273 × 4389 ) / 21

LCM(273,4389) = 1198197 / 21

LCM(273,4389) = 57057


Lets's calculate GCF of 153,918

3 153, 918
3 51, 306
17 17, 102
1, 6

∴ So the GCF of the given numbers is 3 x 3 x 17 = 153

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57057/153

Therefore the LCM of Fractions 273/153,4389/918 is 57057/153

Greatest Common Factor of 153,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,918 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 153,918 . The biggest common factor number is the GCF number.
So the greatest common factor 153,918 is 153.


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 273/153, 4389/918

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 273/153, 4389/918?

Answer: LCM of Numerators as per given numbers 273/153, 4389/918 is

LCM of Numerators i.e. for 273,4389 is 57057

GCF of denominators i.e. for 153,918 is 153.

Thus, LCM of Fractions is 57057/153.Finally, LCM of Fractions for 273/153, 4389/918 is 57057/153.