Least Common Multiple of 8105/840, 9182/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8105/840, 9182/118 quickly i.e. 37210055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8105/840, 9182/118 is 37210055.

LCM(8105/840, 9182/118) = 37210055

LCM of 8105/840, 9182/118

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 8105/840,9182/118

Given numbers are 8105/840,9182/118

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 8105,9182

Least Common Multiple of Numerators i.e. LCM of 8105,9182 is 74420110.

GCF of Denominators means GCF of 840,118 as per the given fractions.

GCF of 840,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8105,9182

LCM of Fractions 8105/840,9182/118 is 37210055

Given numbers has no common factors except 1. So, there LCM is their product i.e 74420110

Least Common Multiple of 8105,9182 with GCF Formula

Least Common Multiple of 8105,9182 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 8105,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8105,9182) = 1

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

GCF(8105,9182) x common factors =1 x 1 = 1

LCM(8105,9182) = ( 8105 × 9182 ) / 1

LCM(8105,9182) = 74420110 / 1

LCM(8105,9182) = 74420110


Lets's calculate GCF of 840,118

2 840, 118
420, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74420110/2

Therefore the LCM of Fractions 8105/840,9182/118 is 37210055

Greatest Common Factor of 840,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,118 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 840,118 . The biggest common factor number is the GCF number.
So the greatest common factor 840,118 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 8105/840, 9182/118

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 8105/840, 9182/118?

Answer: LCM of Numerators as per given numbers 8105/840, 9182/118 is

LCM of Numerators i.e. for 8105,9182 is 74420110

GCF of denominators i.e. for 840,118 is 2.

Thus, LCM of Fractions is 37210055.Finally, LCM of Fractions for 8105/840, 9182/118 is 37210055.