Least Common Multiple of 28/193, 640/123, 812/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/193, 640/123, 812/699 quickly i.e. 129920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/193, 640/123, 812/699 is 129920.

LCM(28/193, 640/123, 812/699) = 129920

LCM of 28/193, 640/123, 812/699

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 28/193,640/123,812/699

Given numbers are 28/193,640/123,812/699

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 28,640,812

Least Common Multiple of Numerators i.e. LCM of 28,640,812 is 129920.

GCF of Denominators means GCF of 193,123,699 as per the given fractions.

GCF of 193,123,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,640,812

LCM of Fractions 28/193,640/123,812/699 is 129920

2 28, 640, 812
2 14, 320, 406
7 7, 160, 203
1, 160, 29

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 160 x 29 = 129920

Least Common Multiple of 28,640,812 with GCF Formula

Least Common Multiple of 28,640,812 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 28,640,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,640,812) = 4

common factors(in case of two or more numbers have common factors) = 28

GCF(28,640,812) x common factors =4 x 28 = 112

LCM(28,640,812) = ( 28 × 640 × 812 ) / 112

LCM(28,640,812) = 14551040 / 112

LCM(28,640,812) = 129920


Lets's calculate GCF of 193,123,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129920/1

Therefore the LCM of Fractions 28/193,640/123,812/699 is 129920

Greatest Common Factor of 193,123,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,123,699 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 193,123,699 . The biggest common factor number is the GCF number.
So the greatest common factor 193,123,699 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 28/193, 640/123, 812/699

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 28/193, 640/123, 812/699?

Answer: LCM of Numerators as per given numbers 28/193, 640/123, 812/699 is

LCM of Numerators i.e. for 28,640,812 is 129920

GCF of denominators i.e. for 193,123,699 is 1.

Thus, LCM of Fractions is 129920.Finally, LCM of Fractions for 28/193, 640/123, 812/699 is 129920.