Least Common Multiple of 76/304, 418/122, 646/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/304, 418/122, 646/442 quickly i.e. 7106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/304, 418/122, 646/442 is 7106.

LCM(76/304, 418/122, 646/442) = 7106

LCM of 76/304, 418/122, 646/442

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 76/304,418/122,646/442

Given numbers are 76/304,418/122,646/442

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 76,418,646

Least Common Multiple of Numerators i.e. LCM of 76,418,646 is 14212.

GCF of Denominators means GCF of 304,122,442 as per the given fractions.

GCF of 304,122,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,418,646

LCM of Fractions 76/304,418/122,646/442 is 7106

2 76, 418, 646
19 38, 209, 323
2, 11, 17

∴ So the LCM of the given numbers is 2 x 19 x 2 x 11 x 17 = 14212

Least Common Multiple of 76,418,646 with GCF Formula

Least Common Multiple of 76,418,646 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 76,418,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,418,646) = 38

common factors(in case of two or more numbers have common factors) = 38

GCF(76,418,646) x common factors =38 x 38 = 1444

LCM(76,418,646) = ( 76 × 418 × 646 ) / 1444

LCM(76,418,646) = 20522128 / 1444

LCM(76,418,646) = 14212


Lets's calculate GCF of 304,122,442

2 304, 122, 442
152, 61, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14212/2

Therefore the LCM of Fractions 76/304,418/122,646/442 is 7106

Greatest Common Factor of 304,122,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,122,442 By Matching Biggest Common Factor Method

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 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 304,122,442 . The biggest common factor number is the GCF number.
So the greatest common factor 304,122,442 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 76/304, 418/122, 646/442

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 76/304, 418/122, 646/442?

Answer: LCM of Numerators as per given numbers 76/304, 418/122, 646/442 is

LCM of Numerators i.e. for 76,418,646 is 14212

GCF of denominators i.e. for 304,122,442 is 2.

Thus, LCM of Fractions is 7106.Finally, LCM of Fractions for 76/304, 418/122, 646/442 is 7106.