Least Common Multiple of 8168/983, 4118/1100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8168/983, 4118/1100 quickly i.e. 16817912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8168/983, 4118/1100 is 16817912.

LCM(8168/983, 4118/1100) = 16817912

LCM of 8168/983, 4118/1100

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 8168/983,4118/1100

Given numbers are 8168/983,4118/1100

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 8168,4118

Least Common Multiple of Numerators i.e. LCM of 8168,4118 is 16817912.

GCF of Denominators means GCF of 983,1100 as per the given fractions.

GCF of 983,1100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8168,4118

LCM of Fractions 8168/983,4118/1100 is 16817912

2 8168, 4118
4084, 2059

∴ So the LCM of the given numbers is 2 x 4084 x 2059 = 16817912

Least Common Multiple of 8168,4118 with GCF Formula

Least Common Multiple of 8168,4118 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 8168,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8168,4118) = 2

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

GCF(8168,4118) x common factors =2 x 1 = 2

LCM(8168,4118) = ( 8168 × 4118 ) / 2

LCM(8168,4118) = 33635824 / 2

LCM(8168,4118) = 16817912


Lets's calculate GCF of 983,1100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16817912/1

Therefore the LCM of Fractions 8168/983,4118/1100 is 16817912

Greatest Common Factor of 983,1100 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,1100 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 983,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 983,1100 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8168/983, 4118/1100

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 8168/983, 4118/1100?

Answer: LCM of Numerators as per given numbers 8168/983, 4118/1100 is

LCM of Numerators i.e. for 8168,4118 is 16817912

GCF of denominators i.e. for 983,1100 is 1.

Thus, LCM of Fractions is 16817912.Finally, LCM of Fractions for 8168/983, 4118/1100 is 16817912.