Least Common Multiple of 510/43, 718/33, 815/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/43, 718/33, 815/104 quickly i.e. 29843670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/43, 718/33, 815/104 is 29843670.

LCM(510/43, 718/33, 815/104) = 29843670

LCM of 510/43, 718/33, 815/104

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 510/43,718/33,815/104

Given numbers are 510/43,718/33,815/104

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 510,718,815

Least Common Multiple of Numerators i.e. LCM of 510,718,815 is 29843670.

GCF of Denominators means GCF of 43,33,104 as per the given fractions.

GCF of 43,33,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,718,815

LCM of Fractions 510/43,718/33,815/104 is 29843670

2 510, 718, 815
5 255, 359, 815
51, 359, 163

∴ So the LCM of the given numbers is 2 x 5 x 51 x 359 x 163 = 29843670

Least Common Multiple of 510,718,815 with GCF Formula

Least Common Multiple of 510,718,815 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 510,718,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,718,815) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(510,718,815) x common factors =1 x 10 = 10

LCM(510,718,815) = ( 510 × 718 × 815 ) / 10

LCM(510,718,815) = 298436700 / 10

LCM(510,718,815) = 29843670


Lets's calculate GCF of 43,33,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29843670/1

Therefore the LCM of Fractions 510/43,718/33,815/104 is 29843670

Greatest Common Factor of 43,33,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,33,104 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 43,33,104 . The biggest common factor number is the GCF number.
So the greatest common factor 43,33,104 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 510/43, 718/33, 815/104

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 510/43, 718/33, 815/104?

Answer: LCM of Numerators as per given numbers 510/43, 718/33, 815/104 is

LCM of Numerators i.e. for 510,718,815 is 29843670

GCF of denominators i.e. for 43,33,104 is 1.

Thus, LCM of Fractions is 29843670.Finally, LCM of Fractions for 510/43, 718/33, 815/104 is 29843670.