Least Common Multiple of 45/213, 7649/7177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/213, 7649/7177 quickly i.e. 344205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/213, 7649/7177 is 344205.

LCM(45/213, 7649/7177) = 344205

LCM of 45/213, 7649/7177

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 45/213,7649/7177

Given numbers are 45/213,7649/7177

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 45,7649

Least Common Multiple of Numerators i.e. LCM of 45,7649 is 344205.

GCF of Denominators means GCF of 213,7177 as per the given fractions.

GCF of 213,7177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,7649

LCM of Fractions 45/213,7649/7177 is 344205

Given numbers has no common factors except 1. So, there LCM is their product i.e 344205

Least Common Multiple of 45,7649 with GCF Formula

Least Common Multiple of 45,7649 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 45,7649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,7649) = 1

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

GCF(45,7649) x common factors =1 x 1 = 1

LCM(45,7649) = ( 45 × 7649 ) / 1

LCM(45,7649) = 344205 / 1

LCM(45,7649) = 344205


Lets's calculate GCF of 213,7177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344205/1

Therefore the LCM of Fractions 45/213,7649/7177 is 344205

Greatest Common Factor of 213,7177 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,7177 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 7177

List of positive integer factors of 7177 that divides 7177 without a remainder.

1,7177

Greatest Common Factor

We found the factors 213,7177 . The biggest common factor number is the GCF number.
So the greatest common factor 213,7177 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 45/213, 7649/7177

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 45/213, 7649/7177?

Answer: LCM of Numerators as per given numbers 45/213, 7649/7177 is

LCM of Numerators i.e. for 45,7649 is 344205

GCF of denominators i.e. for 213,7177 is 1.

Thus, LCM of Fractions is 344205.Finally, LCM of Fractions for 45/213, 7649/7177 is 344205.