Least Common Multiple of 515/68, 687/76, 418/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/68, 687/76, 418/490 quickly i.e. 73945245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/68, 687/76, 418/490 is 73945245.

LCM(515/68, 687/76, 418/490) = 73945245

LCM of 515/68, 687/76, 418/490

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 515/68,687/76,418/490

Given numbers are 515/68,687/76,418/490

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 515,687,418

Least Common Multiple of Numerators i.e. LCM of 515,687,418 is 147890490.

GCF of Denominators means GCF of 68,76,490 as per the given fractions.

GCF of 68,76,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,687,418

LCM of Fractions 515/68,687/76,418/490 is 73945245

Given numbers has no common factors except 1. So, there LCM is their product i.e 147890490

Least Common Multiple of 515,687,418 with GCF Formula

Least Common Multiple of 515,687,418 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 515,687,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,687,418) = 1

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

GCF(515,687,418) x common factors =1 x 1 = 1

LCM(515,687,418) = ( 515 × 687 × 418 ) / 1

LCM(515,687,418) = 147890490 / 1

LCM(515,687,418) = 147890490


Lets's calculate GCF of 68,76,490

2 68, 76, 490
34, 38, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147890490/2

Therefore the LCM of Fractions 515/68,687/76,418/490 is 73945245

Greatest Common Factor of 68,76,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,76,490 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 68,76,490 . The biggest common factor number is the GCF number.
So the greatest common factor 68,76,490 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 515/68, 687/76, 418/490

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 515/68, 687/76, 418/490?

Answer: LCM of Numerators as per given numbers 515/68, 687/76, 418/490 is

LCM of Numerators i.e. for 515,687,418 is 147890490

GCF of denominators i.e. for 68,76,490 is 2.

Thus, LCM of Fractions is 73945245.Finally, LCM of Fractions for 515/68, 687/76, 418/490 is 73945245.