Least Common Multiple of 6/509, 79/304, 62/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/509, 79/304, 62/774 quickly i.e. 14694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/509, 79/304, 62/774 is 14694.

LCM(6/509, 79/304, 62/774) = 14694

LCM of 6/509, 79/304, 62/774

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 6/509,79/304,62/774

Given numbers are 6/509,79/304,62/774

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 6,79,62

Least Common Multiple of Numerators i.e. LCM of 6,79,62 is 14694.

GCF of Denominators means GCF of 509,304,774 as per the given fractions.

GCF of 509,304,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,79,62

LCM of Fractions 6/509,79/304,62/774 is 14694

2 6, 79, 62
3, 79, 31

∴ So the LCM of the given numbers is 2 x 3 x 79 x 31 = 14694

Least Common Multiple of 6,79,62 with GCF Formula

Least Common Multiple of 6,79,62 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 6,79,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,79,62) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,79,62) x common factors =1 x 2 = 2

LCM(6,79,62) = ( 6 × 79 × 62 ) / 2

LCM(6,79,62) = 29388 / 2

LCM(6,79,62) = 14694


Lets's calculate GCF of 509,304,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14694/1

Therefore the LCM of Fractions 6/509,79/304,62/774 is 14694

Greatest Common Factor of 509,304,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,304,774 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 509,304,774 . The biggest common factor number is the GCF number.
So the greatest common factor 509,304,774 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 6/509, 79/304, 62/774

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 6/509, 79/304, 62/774?

Answer: LCM of Numerators as per given numbers 6/509, 79/304, 62/774 is

LCM of Numerators i.e. for 6,79,62 is 14694

GCF of denominators i.e. for 509,304,774 is 1.

Thus, LCM of Fractions is 14694.Finally, LCM of Fractions for 6/509, 79/304, 62/774 is 14694.