Least Common Multiple of 28/142, 907/808, 825/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/142, 907/808, 825/978 quickly i.e. 10475850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/142, 907/808, 825/978 is 10475850.

LCM(28/142, 907/808, 825/978) = 10475850

LCM of 28/142, 907/808, 825/978

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 28/142,907/808,825/978

Given numbers are 28/142,907/808,825/978

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 28,907,825

Least Common Multiple of Numerators i.e. LCM of 28,907,825 is 20951700.

GCF of Denominators means GCF of 142,808,978 as per the given fractions.

GCF of 142,808,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,907,825

LCM of Fractions 28/142,907/808,825/978 is 10475850

Given numbers has no common factors except 1. So, there LCM is their product i.e 20951700

Least Common Multiple of 28,907,825 with GCF Formula

Least Common Multiple of 28,907,825 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 28,907,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,907,825) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(28,907,825) x common factors =1 x 1 = 1

LCM(28,907,825) = ( 28 × 907 × 825 ) / 1

LCM(28,907,825) = 20951700 / 1

LCM(28,907,825) = 20951700


Lets's calculate GCF of 142,808,978

2 142, 808, 978
71, 404, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20951700/2

Therefore the LCM of Fractions 28/142,907/808,825/978 is 10475850

Greatest Common Factor of 142,808,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,808,978 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 142,808,978 . The biggest common factor number is the GCF number.
So the greatest common factor 142,808,978 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 28/142, 907/808, 825/978

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 28/142, 907/808, 825/978?

Answer: LCM of Numerators as per given numbers 28/142, 907/808, 825/978 is

LCM of Numerators i.e. for 28,907,825 is 20951700

GCF of denominators i.e. for 142,808,978 is 2.

Thus, LCM of Fractions is 10475850.Finally, LCM of Fractions for 28/142, 907/808, 825/978 is 10475850.