Least Common Multiple of 83/164, 43/720, 237/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/164, 43/720, 237/762 quickly i.e. 845853/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/164, 43/720, 237/762 is 845853/2.

LCM(83/164, 43/720, 237/762) = 845853/2

LCM of 83/164, 43/720, 237/762

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 83/164,43/720,237/762

Given numbers are 83/164,43/720,237/762

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 83,43,237

Least Common Multiple of Numerators i.e. LCM of 83,43,237 is 845853.

GCF of Denominators means GCF of 164,720,762 as per the given fractions.

GCF of 164,720,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,43,237

LCM of Fractions 83/164,43/720,237/762 is 845853/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 845853

Least Common Multiple of 83,43,237 with GCF Formula

Least Common Multiple of 83,43,237 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 83,43,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,43,237) = 1

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

GCF(83,43,237) x common factors =1 x 1 = 1

LCM(83,43,237) = ( 83 × 43 × 237 ) / 1

LCM(83,43,237) = 845853 / 1

LCM(83,43,237) = 845853


Lets's calculate GCF of 164,720,762

2 164, 720, 762
82, 360, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 845853/2

Therefore the LCM of Fractions 83/164,43/720,237/762 is 845853/2

Greatest Common Factor of 164,720,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,720,762 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 164,720,762 . The biggest common factor number is the GCF number.
So the greatest common factor 164,720,762 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 83/164, 43/720, 237/762

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 83/164, 43/720, 237/762?

Answer: LCM of Numerators as per given numbers 83/164, 43/720, 237/762 is

LCM of Numerators i.e. for 83,43,237 is 845853

GCF of denominators i.e. for 164,720,762 is 2.

Thus, LCM of Fractions is 845853/2.Finally, LCM of Fractions for 83/164, 43/720, 237/762 is 845853/2.