Least Common Multiple of 45/273, 653/435, 323/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/273, 653/435, 323/613 quickly i.e. 9491355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/273, 653/435, 323/613 is 9491355.

LCM(45/273, 653/435, 323/613) = 9491355

LCM of 45/273, 653/435, 323/613

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 45/273,653/435,323/613

Given numbers are 45/273,653/435,323/613

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 45,653,323

Least Common Multiple of Numerators i.e. LCM of 45,653,323 is 9491355.

GCF of Denominators means GCF of 273,435,613 as per the given fractions.

GCF of 273,435,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,653,323

LCM of Fractions 45/273,653/435,323/613 is 9491355

Given numbers has no common factors except 1. So, there LCM is their product i.e 9491355

Least Common Multiple of 45,653,323 with GCF Formula

Least Common Multiple of 45,653,323 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 45,653,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,653,323) = 1

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

GCF(45,653,323) x common factors =1 x 1 = 1

LCM(45,653,323) = ( 45 × 653 × 323 ) / 1

LCM(45,653,323) = 9491355 / 1

LCM(45,653,323) = 9491355


Lets's calculate GCF of 273,435,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9491355/1

Therefore the LCM of Fractions 45/273,653/435,323/613 is 9491355

Greatest Common Factor of 273,435,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,435,613 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 273,435,613 . The biggest common factor number is the GCF number.
So the greatest common factor 273,435,613 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 45/273, 653/435, 323/613

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 45/273, 653/435, 323/613?

Answer: LCM of Numerators as per given numbers 45/273, 653/435, 323/613 is

LCM of Numerators i.e. for 45,653,323 is 9491355

GCF of denominators i.e. for 273,435,613 is 1.

Thus, LCM of Fractions is 9491355.Finally, LCM of Fractions for 45/273, 653/435, 323/613 is 9491355.