Least Common Multiple of 2/21, 3/60, 38/45, 67/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/21, 3/60, 38/45, 67/48 quickly i.e. 2546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/21, 3/60, 38/45, 67/48 is 2546.

LCM(2/21, 3/60, 38/45, 67/48) = 2546

LCM of 2/21, 3/60, 38/45, 67/48

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 2/21,3/60,38/45,67/48

Given numbers are 2/21,3/60,38/45,67/48

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 2,3,38,67

Least Common Multiple of Numerators i.e. LCM of 2,3,38,67 is 7638.

GCF of Denominators means GCF of 21,60,45,48 as per the given fractions.

GCF of 21,60,45,48 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,3,38,67

LCM of Fractions 2/21,3/60,38/45,67/48 is 2546

2 2, 3, 38, 67
1, 3, 19, 67

∴ So the LCM of the given numbers is 2 x 1 x 3 x 19 x 67 = 7638

Least Common Multiple of 2,3,38,67 with GCF Formula

Least Common Multiple of 2,3,38,67 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 2,3,38,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,3,38,67) = 1

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

GCF(2,3,38,67) x common factors =1 x 2 = 2

LCM(2,3,38,67) = ( 2 × 3 × 38 × 67 ) / 2

LCM(2,3,38,67) = 15276 / 2

LCM(2,3,38,67) = 7638


Lets's calculate GCF of 21,60,45,48

3 21, 60, 45, 48
7, 20, 15, 16

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7638/3

Therefore the LCM of Fractions 2/21,3/60,38/45,67/48 is 2546

Greatest Common Factor of 21,60,45,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,60,45,48 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 21,60,45,48 . The biggest common factor number is the GCF number.
So the greatest common factor 21,60,45,48 is 3.


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 2/21, 3/60, 38/45, 67/48

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 2/21, 3/60, 38/45, 67/48?

Answer: LCM of Numerators as per given numbers 2/21, 3/60, 38/45, 67/48 is

LCM of Numerators i.e. for 2,3,38,67 is 7638

GCF of denominators i.e. for 21,60,45,48 is 3.

Thus, LCM of Fractions is 2546.Finally, LCM of Fractions for 2/21, 3/60, 38/45, 67/48 is 2546.