Least Common Multiple of 812/24, 100/77, 830/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/24, 100/77, 830/193 quickly i.e. 1684900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/24, 100/77, 830/193 is 1684900.

LCM(812/24, 100/77, 830/193) = 1684900

LCM of 812/24, 100/77, 830/193

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 812/24,100/77,830/193

Given numbers are 812/24,100/77,830/193

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 812,100,830

Least Common Multiple of Numerators i.e. LCM of 812,100,830 is 1684900.

GCF of Denominators means GCF of 24,77,193 as per the given fractions.

GCF of 24,77,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,100,830

LCM of Fractions 812/24,100/77,830/193 is 1684900

2 812, 100, 830
2 406, 50, 415
5 203, 25, 415
203, 5, 83

∴ So the LCM of the given numbers is 2 x 2 x 5 x 203 x 5 x 83 = 1684900

Least Common Multiple of 812,100,830 with GCF Formula

Least Common Multiple of 812,100,830 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 812,100,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,100,830) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(812,100,830) x common factors =2 x 20 = 40

LCM(812,100,830) = ( 812 × 100 × 830 ) / 40

LCM(812,100,830) = 67396000 / 40

LCM(812,100,830) = 1684900


Lets's calculate GCF of 24,77,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1684900/1

Therefore the LCM of Fractions 812/24,100/77,830/193 is 1684900

Greatest Common Factor of 24,77,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,77,193 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 193

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

1,193

Greatest Common Factor

We found the factors 24,77,193 . The biggest common factor number is the GCF number.
So the greatest common factor 24,77,193 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 812/24, 100/77, 830/193

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 812/24, 100/77, 830/193?

Answer: LCM of Numerators as per given numbers 812/24, 100/77, 830/193 is

LCM of Numerators i.e. for 812,100,830 is 1684900

GCF of denominators i.e. for 24,77,193 is 1.

Thus, LCM of Fractions is 1684900.Finally, LCM of Fractions for 812/24, 100/77, 830/193 is 1684900.