Least Common Multiple of 3/28, 9/10, 7/12, 10/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/28, 9/10, 7/12, 10/270 quickly i.e. 315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/28, 9/10, 7/12, 10/270 is 315.

LCM(3/28, 9/10, 7/12, 10/270) = 315

LCM of 3/28, 9/10, 7/12, 10/270

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 3/28,9/10,7/12,10/270

Given numbers are 3/28,9/10,7/12,10/270

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 3,9,7,10

Least Common Multiple of Numerators i.e. LCM of 3,9,7,10 is 630.

GCF of Denominators means GCF of 28,10,12,270 as per the given fractions.

GCF of 28,10,12,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,7,10

LCM of Fractions 3/28,9/10,7/12,10/270 is 315

3 3, 9, 7, 10
1, 3, 7, 10

∴ So the LCM of the given numbers is 3 x 1 x 3 x 7 x 10 = 630

Least Common Multiple of 3,9,7,10 with GCF Formula

Least Common Multiple of 3,9,7,10 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 3,9,7,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,7,10) = 1

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

GCF(3,9,7,10) x common factors =1 x 3 = 3

LCM(3,9,7,10) = ( 3 × 9 × 7 × 10 ) / 3

LCM(3,9,7,10) = 1890 / 3

LCM(3,9,7,10) = 630


Lets's calculate GCF of 28,10,12,270

2 28, 10, 12, 270
14, 5, 6, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/2

Therefore the LCM of Fractions 3/28,9/10,7/12,10/270 is 315

Greatest Common Factor of 28,10,12,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,10,12,270 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 12

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

1,2,3,4,6,12

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 28,10,12,270 . The biggest common factor number is the GCF number.
So the greatest common factor 28,10,12,270 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 3/28, 9/10, 7/12, 10/270

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 3/28, 9/10, 7/12, 10/270?

Answer: LCM of Numerators as per given numbers 3/28, 9/10, 7/12, 10/270 is

LCM of Numerators i.e. for 3,9,7,10 is 630

GCF of denominators i.e. for 28,10,12,270 is 2.

Thus, LCM of Fractions is 315.Finally, LCM of Fractions for 3/28, 9/10, 7/12, 10/270 is 315.