Least Common Multiple of 468/806, 9320/9868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/806, 9320/9868 quickly i.e. 545220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/806, 9320/9868 is 545220.

LCM(468/806, 9320/9868) = 545220

LCM of 468/806, 9320/9868

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 468/806,9320/9868

Given numbers are 468/806,9320/9868

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 468,9320

Least Common Multiple of Numerators i.e. LCM of 468,9320 is 1090440.

GCF of Denominators means GCF of 806,9868 as per the given fractions.

GCF of 806,9868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,9320

LCM of Fractions 468/806,9320/9868 is 545220

2 468, 9320
2 234, 4660
117, 2330

∴ So the LCM of the given numbers is 2 x 2 x 117 x 2330 = 1090440

Least Common Multiple of 468,9320 with GCF Formula

Least Common Multiple of 468,9320 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 468,9320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,9320) = 4

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

GCF(468,9320) x common factors =4 x 1 = 4

LCM(468,9320) = ( 468 × 9320 ) / 4

LCM(468,9320) = 4361760 / 4

LCM(468,9320) = 1090440


Lets's calculate GCF of 806,9868

2 806, 9868
403, 4934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1090440/2

Therefore the LCM of Fractions 468/806,9320/9868 is 545220

Greatest Common Factor of 806,9868 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,9868 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Greatest Common Factor

We found the factors 806,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 806,9868 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 468/806, 9320/9868

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 468/806, 9320/9868?

Answer: LCM of Numerators as per given numbers 468/806, 9320/9868 is

LCM of Numerators i.e. for 468,9320 is 1090440

GCF of denominators i.e. for 806,9868 is 2.

Thus, LCM of Fractions is 545220.Finally, LCM of Fractions for 468/806, 9320/9868 is 545220.