Least Common Multiple of 28/39, 70/25, 38/56, 48/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/39, 70/25, 38/56, 48/905 quickly i.e. 31920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/39, 70/25, 38/56, 48/905 is 31920.

LCM(28/39, 70/25, 38/56, 48/905) = 31920

LCM of 28/39, 70/25, 38/56, 48/905

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 28/39,70/25,38/56,48/905

Given numbers are 28/39,70/25,38/56,48/905

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 28,70,38,48

Least Common Multiple of Numerators i.e. LCM of 28,70,38,48 is 31920.

GCF of Denominators means GCF of 39,25,56,905 as per the given fractions.

GCF of 39,25,56,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,70,38,48

LCM of Fractions 28/39,70/25,38/56,48/905 is 31920

2 28, 70, 38, 48
2 14, 35, 19, 24
7 7, 35, 19, 12
1, 5, 19, 12

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 5 x 19 x 12 = 31920

Least Common Multiple of 28,70,38,48 with GCF Formula

Least Common Multiple of 28,70,38,48 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 28,70,38,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,70,38,48) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(28,70,38,48) x common factors =2 x 56 = 112

LCM(28,70,38,48) = ( 28 × 70 × 38 × 48 ) / 112

LCM(28,70,38,48) = 3575040 / 112

LCM(28,70,38,48) = 31920


Lets's calculate GCF of 39,25,56,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31920/1

Therefore the LCM of Fractions 28/39,70/25,38/56,48/905 is 31920

Greatest Common Factor of 39,25,56,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,25,56,905 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 39,25,56,905 . The biggest common factor number is the GCF number.
So the greatest common factor 39,25,56,905 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 28/39, 70/25, 38/56, 48/905

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 28/39, 70/25, 38/56, 48/905?

Answer: LCM of Numerators as per given numbers 28/39, 70/25, 38/56, 48/905 is

LCM of Numerators i.e. for 28,70,38,48 is 31920

GCF of denominators i.e. for 39,25,56,905 is 1.

Thus, LCM of Fractions is 31920.Finally, LCM of Fractions for 28/39, 70/25, 38/56, 48/905 is 31920.