Least Common Multiple of 83/36, 839/40, 112/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/36, 839/40, 112/628 quickly i.e. 1949836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/36, 839/40, 112/628 is 1949836.

LCM(83/36, 839/40, 112/628) = 1949836

LCM of 83/36, 839/40, 112/628

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 83/36,839/40,112/628

Given numbers are 83/36,839/40,112/628

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 83,839,112

Least Common Multiple of Numerators i.e. LCM of 83,839,112 is 7799344.

GCF of Denominators means GCF of 36,40,628 as per the given fractions.

GCF of 36,40,628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,839,112

LCM of Fractions 83/36,839/40,112/628 is 1949836

Given numbers has no common factors except 1. So, there LCM is their product i.e 7799344

Least Common Multiple of 83,839,112 with GCF Formula

Least Common Multiple of 83,839,112 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 83,839,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,839,112) = 1

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

GCF(83,839,112) x common factors =1 x 1 = 1

LCM(83,839,112) = ( 83 × 839 × 112 ) / 1

LCM(83,839,112) = 7799344 / 1

LCM(83,839,112) = 7799344


Lets's calculate GCF of 36,40,628

2 36, 40, 628
2 18, 20, 314
9, 10, 157

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7799344/4

Therefore the LCM of Fractions 83/36,839/40,112/628 is 1949836

Greatest Common Factor of 36,40,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,40,628 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 36,40,628 . The biggest common factor number is the GCF number.
So the greatest common factor 36,40,628 is 4.


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 83/36, 839/40, 112/628

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 83/36, 839/40, 112/628?

Answer: LCM of Numerators as per given numbers 83/36, 839/40, 112/628 is

LCM of Numerators i.e. for 83,839,112 is 7799344

GCF of denominators i.e. for 36,40,628 is 4.

Thus, LCM of Fractions is 1949836.Finally, LCM of Fractions for 83/36, 839/40, 112/628 is 1949836.