Least Common Multiple of 3/12, 4/51, 21/34, 49/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/12, 4/51, 21/34, 49/304 quickly i.e. 588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/12, 4/51, 21/34, 49/304 is 588.

LCM(3/12, 4/51, 21/34, 49/304) = 588

LCM of 3/12, 4/51, 21/34, 49/304

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 3/12,4/51,21/34,49/304

Given numbers are 3/12,4/51,21/34,49/304

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 3,4,21,49

Least Common Multiple of Numerators i.e. LCM of 3,4,21,49 is 588.

GCF of Denominators means GCF of 12,51,34,304 as per the given fractions.

GCF of 12,51,34,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,21,49

LCM of Fractions 3/12,4/51,21/34,49/304 is 588

3 3, 4, 21, 49
7 1, 4, 7, 49
1, 4, 1, 7

∴ So the LCM of the given numbers is 3 x 7 x 1 x 4 x 1 x 7 = 588

Least Common Multiple of 3,4,21,49 with GCF Formula

Least Common Multiple of 3,4,21,49 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 3,4,21,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,21,49) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(3,4,21,49) x common factors =1 x 21 = 21

LCM(3,4,21,49) = ( 3 × 4 × 21 × 49 ) / 21

LCM(3,4,21,49) = 12348 / 21

LCM(3,4,21,49) = 588


Lets's calculate GCF of 12,51,34,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588/1

Therefore the LCM of Fractions 3/12,4/51,21/34,49/304 is 588

Greatest Common Factor of 12,51,34,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,51,34,304 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

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

Greatest Common Factor

We found the factors 12,51,34,304 . The biggest common factor number is the GCF number.
So the greatest common factor 12,51,34,304 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 3/12, 4/51, 21/34, 49/304

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 3/12, 4/51, 21/34, 49/304?

Answer: LCM of Numerators as per given numbers 3/12, 4/51, 21/34, 49/304 is

LCM of Numerators i.e. for 3,4,21,49 is 588

GCF of denominators i.e. for 12,51,34,304 is 1.

Thus, LCM of Fractions is 588.Finally, LCM of Fractions for 3/12, 4/51, 21/34, 49/304 is 588.