Least Common Multiple of 3680/45, 7141/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3680/45, 7141/513 quickly i.e. 26278880/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3680/45, 7141/513 is 26278880/9.

LCM(3680/45, 7141/513) = 26278880/9

LCM of 3680/45, 7141/513

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 3680/45,7141/513

Given numbers are 3680/45,7141/513

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 3680,7141

Least Common Multiple of Numerators i.e. LCM of 3680,7141 is 26278880.

GCF of Denominators means GCF of 45,513 as per the given fractions.

GCF of 45,513 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3680,7141

LCM of Fractions 3680/45,7141/513 is 26278880/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 26278880

Least Common Multiple of 3680,7141 with GCF Formula

Least Common Multiple of 3680,7141 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 3680,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3680,7141) = 1

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

GCF(3680,7141) x common factors =1 x 1 = 1

LCM(3680,7141) = ( 3680 × 7141 ) / 1

LCM(3680,7141) = 26278880 / 1

LCM(3680,7141) = 26278880


Lets's calculate GCF of 45,513

3 45, 513
3 15, 171
5, 57

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26278880/9

Therefore the LCM of Fractions 3680/45,7141/513 is 26278880/9

Greatest Common Factor of 45,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,513 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 45,513 . The biggest common factor number is the GCF number.
So the greatest common factor 45,513 is 9.


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 3680/45, 7141/513

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 3680/45, 7141/513?

Answer: LCM of Numerators as per given numbers 3680/45, 7141/513 is

LCM of Numerators i.e. for 3680,7141 is 26278880

GCF of denominators i.e. for 45,513 is 9.

Thus, LCM of Fractions is 26278880/9.Finally, LCM of Fractions for 3680/45, 7141/513 is 26278880/9.