Least Common Multiple of 67/29, 281/76, 509/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/29, 281/76, 509/818 quickly i.e. 9582943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/29, 281/76, 509/818 is 9582943.

LCM(67/29, 281/76, 509/818) = 9582943

LCM of 67/29, 281/76, 509/818

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 67/29,281/76,509/818

Given numbers are 67/29,281/76,509/818

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 67,281,509

Least Common Multiple of Numerators i.e. LCM of 67,281,509 is 9582943.

GCF of Denominators means GCF of 29,76,818 as per the given fractions.

GCF of 29,76,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,281,509

LCM of Fractions 67/29,281/76,509/818 is 9582943

Given numbers has no common factors except 1. So, there LCM is their product i.e 9582943

Least Common Multiple of 67,281,509 with GCF Formula

Least Common Multiple of 67,281,509 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 67,281,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,281,509) = 1

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

GCF(67,281,509) x common factors =1 x 1 = 1

LCM(67,281,509) = ( 67 × 281 × 509 ) / 1

LCM(67,281,509) = 9582943 / 1

LCM(67,281,509) = 9582943


Lets's calculate GCF of 29,76,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9582943/1

Therefore the LCM of Fractions 67/29,281/76,509/818 is 9582943

Greatest Common Factor of 29,76,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,76,818 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 76

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

1,2,4,19,38,76

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 29,76,818 . The biggest common factor number is the GCF number.
So the greatest common factor 29,76,818 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 67/29, 281/76, 509/818

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 67/29, 281/76, 509/818?

Answer: LCM of Numerators as per given numbers 67/29, 281/76, 509/818 is

LCM of Numerators i.e. for 67,281,509 is 9582943

GCF of denominators i.e. for 29,76,818 is 1.

Thus, LCM of Fractions is 9582943.Finally, LCM of Fractions for 67/29, 281/76, 509/818 is 9582943.