Least Common Multiple of 515/280, 9640/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/280, 9640/346 quickly i.e. 496460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/280, 9640/346 is 496460.

LCM(515/280, 9640/346) = 496460

LCM of 515/280, 9640/346

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 515/280,9640/346

Given numbers are 515/280,9640/346

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 515,9640

Least Common Multiple of Numerators i.e. LCM of 515,9640 is 992920.

GCF of Denominators means GCF of 280,346 as per the given fractions.

GCF of 280,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,9640

LCM of Fractions 515/280,9640/346 is 496460

5 515, 9640
103, 1928

∴ So the LCM of the given numbers is 5 x 103 x 1928 = 992920

Least Common Multiple of 515,9640 with GCF Formula

Least Common Multiple of 515,9640 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 515,9640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,9640) = 5

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

GCF(515,9640) x common factors =5 x 1 = 5

LCM(515,9640) = ( 515 × 9640 ) / 5

LCM(515,9640) = 4964600 / 5

LCM(515,9640) = 992920


Lets's calculate GCF of 280,346

2 280, 346
140, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 992920/2

Therefore the LCM of Fractions 515/280,9640/346 is 496460

Greatest Common Factor of 280,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,346 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 280,346 . The biggest common factor number is the GCF number.
So the greatest common factor 280,346 is 2.


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 515/280, 9640/346

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 515/280, 9640/346?

Answer: LCM of Numerators as per given numbers 515/280, 9640/346 is

LCM of Numerators i.e. for 515,9640 is 992920

GCF of denominators i.e. for 280,346 is 2.

Thus, LCM of Fractions is 496460.Finally, LCM of Fractions for 515/280, 9640/346 is 496460.