Least Common Multiple of 28/928, 423/626, 120/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/928, 423/626, 120/930 quickly i.e. 59220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/928, 423/626, 120/930 is 59220.

LCM(28/928, 423/626, 120/930) = 59220

LCM of 28/928, 423/626, 120/930

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 28/928,423/626,120/930

Given numbers are 28/928,423/626,120/930

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 28,423,120

Least Common Multiple of Numerators i.e. LCM of 28,423,120 is 118440.

GCF of Denominators means GCF of 928,626,930 as per the given fractions.

GCF of 928,626,930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,423,120

LCM of Fractions 28/928,423/626,120/930 is 59220

2 28, 423, 120
2 14, 423, 60
3 7, 423, 30
7, 141, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 141 x 10 = 118440

Least Common Multiple of 28,423,120 with GCF Formula

Least Common Multiple of 28,423,120 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 28,423,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,423,120) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(28,423,120) x common factors =1 x 12 = 12

LCM(28,423,120) = ( 28 × 423 × 120 ) / 12

LCM(28,423,120) = 1421280 / 12

LCM(28,423,120) = 118440


Lets's calculate GCF of 928,626,930

2 928, 626, 930
464, 313, 465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/2

Therefore the LCM of Fractions 28/928,423/626,120/930 is 59220

Greatest Common Factor of 928,626,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,626,930 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 928,626,930 . The biggest common factor number is the GCF number.
So the greatest common factor 928,626,930 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 28/928, 423/626, 120/930

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 28/928, 423/626, 120/930?

Answer: LCM of Numerators as per given numbers 28/928, 423/626, 120/930 is

LCM of Numerators i.e. for 28,423,120 is 118440

GCF of denominators i.e. for 928,626,930 is 2.

Thus, LCM of Fractions is 59220.Finally, LCM of Fractions for 28/928, 423/626, 120/930 is 59220.