Least Common Multiple of 6/76, 64/304, 50/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/76, 64/304, 50/494 quickly i.e. 4800/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/76, 64/304, 50/494 is 4800/38.

LCM(6/76, 64/304, 50/494) = 4800/38

LCM of 6/76, 64/304, 50/494

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 6/76,64/304,50/494

Given numbers are 6/76,64/304,50/494

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 6,64,50

Least Common Multiple of Numerators i.e. LCM of 6,64,50 is 4800.

GCF of Denominators means GCF of 76,304,494 as per the given fractions.

GCF of 76,304,494 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,64,50

LCM of Fractions 6/76,64/304,50/494 is 4800/38

2 6, 64, 50
3, 32, 25

∴ So the LCM of the given numbers is 2 x 3 x 32 x 25 = 4800

Least Common Multiple of 6,64,50 with GCF Formula

Least Common Multiple of 6,64,50 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 6,64,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,64,50) = 2

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

GCF(6,64,50) x common factors =2 x 2 = 4

LCM(6,64,50) = ( 6 × 64 × 50 ) / 4

LCM(6,64,50) = 19200 / 4

LCM(6,64,50) = 4800


Lets's calculate GCF of 76,304,494

2 76, 304, 494
19 38, 152, 247
2, 8, 13

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4800/38

Therefore the LCM of Fractions 6/76,64/304,50/494 is 4800/38

Greatest Common Factor of 76,304,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,304,494 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

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 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 76,304,494 . The biggest common factor number is the GCF number.
So the greatest common factor 76,304,494 is 38.


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 6/76, 64/304, 50/494

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 6/76, 64/304, 50/494?

Answer: LCM of Numerators as per given numbers 6/76, 64/304, 50/494 is

LCM of Numerators i.e. for 6,64,50 is 4800

GCF of denominators i.e. for 76,304,494 is 38.

Thus, LCM of Fractions is 4800/38.Finally, LCM of Fractions for 6/76, 64/304, 50/494 is 4800/38.