Least Common Multiple of 3/748, 48/304, 21/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/748, 48/304, 21/761 quickly i.e. 336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/748, 48/304, 21/761 is 336.

LCM(3/748, 48/304, 21/761) = 336

LCM of 3/748, 48/304, 21/761

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 3/748,48/304,21/761

Given numbers are 3/748,48/304,21/761

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 3,48,21

Least Common Multiple of Numerators i.e. LCM of 3,48,21 is 336.

GCF of Denominators means GCF of 748,304,761 as per the given fractions.

GCF of 748,304,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,48,21

LCM of Fractions 3/748,48/304,21/761 is 336

3 3, 48, 21
1, 16, 7

∴ So the LCM of the given numbers is 3 x 1 x 16 x 7 = 336

Least Common Multiple of 3,48,21 with GCF Formula

Least Common Multiple of 3,48,21 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 3,48,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,48,21) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(3,48,21) x common factors =3 x 3 = 9

LCM(3,48,21) = ( 3 × 48 × 21 ) / 9

LCM(3,48,21) = 3024 / 9

LCM(3,48,21) = 336


Lets's calculate GCF of 748,304,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/1

Therefore the LCM of Fractions 3/748,48/304,21/761 is 336

Greatest Common Factor of 748,304,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,304,761 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

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 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 748,304,761 . The biggest common factor number is the GCF number.
So the greatest common factor 748,304,761 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 3/748, 48/304, 21/761

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 3/748, 48/304, 21/761?

Answer: LCM of Numerators as per given numbers 3/748, 48/304, 21/761 is

LCM of Numerators i.e. for 3,48,21 is 336

GCF of denominators i.e. for 748,304,761 is 1.

Thus, LCM of Fractions is 336.Finally, LCM of Fractions for 3/748, 48/304, 21/761 is 336.