Least Common Multiple of 9045/366, 8413/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9045/366, 8413/840 quickly i.e. 76095585/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9045/366, 8413/840 is 76095585/6.

LCM(9045/366, 8413/840) = 76095585/6

LCM of 9045/366, 8413/840

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 9045/366,8413/840

Given numbers are 9045/366,8413/840

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 9045,8413

Least Common Multiple of Numerators i.e. LCM of 9045,8413 is 76095585.

GCF of Denominators means GCF of 366,840 as per the given fractions.

GCF of 366,840 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9045,8413

LCM of Fractions 9045/366,8413/840 is 76095585/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 76095585

Least Common Multiple of 9045,8413 with GCF Formula

Least Common Multiple of 9045,8413 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 9045,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9045,8413) = 1

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

GCF(9045,8413) x common factors =1 x 1 = 1

LCM(9045,8413) = ( 9045 × 8413 ) / 1

LCM(9045,8413) = 76095585 / 1

LCM(9045,8413) = 76095585


Lets's calculate GCF of 366,840

2 366, 840
3 183, 420
61, 140

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76095585/6

Therefore the LCM of Fractions 9045/366,8413/840 is 76095585/6

Greatest Common Factor of 366,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,840 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

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

Greatest Common Factor

We found the factors 366,840 . The biggest common factor number is the GCF number.
So the greatest common factor 366,840 is 6.


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 9045/366, 8413/840

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 9045/366, 8413/840?

Answer: LCM of Numerators as per given numbers 9045/366, 8413/840 is

LCM of Numerators i.e. for 9045,8413 is 76095585

GCF of denominators i.e. for 366,840 is 6.

Thus, LCM of Fractions is 76095585/6.Finally, LCM of Fractions for 9045/366, 8413/840 is 76095585/6.