Least Common Multiple of 45/143, 6066/5297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/143, 6066/5297 quickly i.e. 30330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/143, 6066/5297 is 30330.

LCM(45/143, 6066/5297) = 30330

LCM of 45/143, 6066/5297

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 45/143,6066/5297

Given numbers are 45/143,6066/5297

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 45,6066

Least Common Multiple of Numerators i.e. LCM of 45,6066 is 30330.

GCF of Denominators means GCF of 143,5297 as per the given fractions.

GCF of 143,5297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,6066

LCM of Fractions 45/143,6066/5297 is 30330

3 45, 6066
3 15, 2022
5, 674

∴ So the LCM of the given numbers is 3 x 3 x 5 x 674 = 30330

Least Common Multiple of 45,6066 with GCF Formula

Least Common Multiple of 45,6066 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 45,6066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6066) = 9

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

GCF(45,6066) x common factors =9 x 1 = 9

LCM(45,6066) = ( 45 × 6066 ) / 9

LCM(45,6066) = 272970 / 9

LCM(45,6066) = 30330


Lets's calculate GCF of 143,5297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30330/1

Therefore the LCM of Fractions 45/143,6066/5297 is 30330

Greatest Common Factor of 143,5297 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,5297 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 5297

List of positive integer factors of 5297 that divides 5297 without a remainder.

1,5297

Greatest Common Factor

We found the factors 143,5297 . The biggest common factor number is the GCF number.
So the greatest common factor 143,5297 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 45/143, 6066/5297

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 45/143, 6066/5297?

Answer: LCM of Numerators as per given numbers 45/143, 6066/5297 is

LCM of Numerators i.e. for 45,6066 is 30330

GCF of denominators i.e. for 143,5297 is 1.

Thus, LCM of Fractions is 30330.Finally, LCM of Fractions for 45/143, 6066/5297 is 30330.