Least Common Multiple of 45/420, 9263/8090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/420, 9263/8090 quickly i.e. 416835/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/420, 9263/8090 is 416835/10.

LCM(45/420, 9263/8090) = 416835/10

LCM of 45/420, 9263/8090

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 45/420,9263/8090

Given numbers are 45/420,9263/8090

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 45,9263

Least Common Multiple of Numerators i.e. LCM of 45,9263 is 416835.

GCF of Denominators means GCF of 420,8090 as per the given fractions.

GCF of 420,8090 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,9263

LCM of Fractions 45/420,9263/8090 is 416835/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 416835

Least Common Multiple of 45,9263 with GCF Formula

Least Common Multiple of 45,9263 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 45,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,9263) = 1

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

GCF(45,9263) x common factors =1 x 1 = 1

LCM(45,9263) = ( 45 × 9263 ) / 1

LCM(45,9263) = 416835 / 1

LCM(45,9263) = 416835


Lets's calculate GCF of 420,8090

2 420, 8090
5 210, 4045
42, 809

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416835/10

Therefore the LCM of Fractions 45/420,9263/8090 is 416835/10

Greatest Common Factor of 420,8090 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,8090 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Greatest Common Factor

We found the factors 420,8090 . The biggest common factor number is the GCF number.
So the greatest common factor 420,8090 is 10.


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 45/420, 9263/8090

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 45/420, 9263/8090?

Answer: LCM of Numerators as per given numbers 45/420, 9263/8090 is

LCM of Numerators i.e. for 45,9263 is 416835

GCF of denominators i.e. for 420,8090 is 10.

Thus, LCM of Fractions is 416835/10.Finally, LCM of Fractions for 45/420, 9263/8090 is 416835/10.