Least Common Multiple of 843/642, 446/942, 726/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/642, 446/942, 726/730 quickly i.e. 22746669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/642, 446/942, 726/730 is 22746669.

LCM(843/642, 446/942, 726/730) = 22746669

LCM of 843/642, 446/942, 726/730

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 843/642,446/942,726/730

Given numbers are 843/642,446/942,726/730

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 843,446,726

Least Common Multiple of Numerators i.e. LCM of 843,446,726 is 45493338.

GCF of Denominators means GCF of 642,942,730 as per the given fractions.

GCF of 642,942,730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,446,726

LCM of Fractions 843/642,446/942,726/730 is 22746669

2 843, 446, 726
3 843, 223, 363
281, 223, 121

∴ So the LCM of the given numbers is 2 x 3 x 281 x 223 x 121 = 45493338

Least Common Multiple of 843,446,726 with GCF Formula

Least Common Multiple of 843,446,726 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 843,446,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,446,726) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(843,446,726) x common factors =1 x 6 = 6

LCM(843,446,726) = ( 843 × 446 × 726 ) / 6

LCM(843,446,726) = 272960028 / 6

LCM(843,446,726) = 45493338


Lets's calculate GCF of 642,942,730

2 642, 942, 730
321, 471, 365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45493338/2

Therefore the LCM of Fractions 843/642,446/942,726/730 is 22746669

Greatest Common Factor of 642,942,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,942,730 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 642,942,730 . The biggest common factor number is the GCF number.
So the greatest common factor 642,942,730 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 843/642, 446/942, 726/730

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 843/642, 446/942, 726/730?

Answer: LCM of Numerators as per given numbers 843/642, 446/942, 726/730 is

LCM of Numerators i.e. for 843,446,726 is 45493338

GCF of denominators i.e. for 642,942,730 is 2.

Thus, LCM of Fractions is 22746669.Finally, LCM of Fractions for 843/642, 446/942, 726/730 is 22746669.