Least Common Multiple of 800/763, 4090/9822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/763, 4090/9822 quickly i.e. 327200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/763, 4090/9822 is 327200.

LCM(800/763, 4090/9822) = 327200

LCM of 800/763, 4090/9822

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 800/763,4090/9822

Given numbers are 800/763,4090/9822

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 800,4090

Least Common Multiple of Numerators i.e. LCM of 800,4090 is 327200.

GCF of Denominators means GCF of 763,9822 as per the given fractions.

GCF of 763,9822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,4090

LCM of Fractions 800/763,4090/9822 is 327200

2 800, 4090
5 400, 2045
80, 409

∴ So the LCM of the given numbers is 2 x 5 x 80 x 409 = 327200

Least Common Multiple of 800,4090 with GCF Formula

Least Common Multiple of 800,4090 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 800,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,4090) = 10

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

GCF(800,4090) x common factors =10 x 1 = 10

LCM(800,4090) = ( 800 × 4090 ) / 10

LCM(800,4090) = 3272000 / 10

LCM(800,4090) = 327200


Lets's calculate GCF of 763,9822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327200/1

Therefore the LCM of Fractions 800/763,4090/9822 is 327200

Greatest Common Factor of 763,9822 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,9822 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1,2,3,6,1637,3274,4911,9822

Greatest Common Factor

We found the factors 763,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 763,9822 is 1.


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 800/763, 4090/9822

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 800/763, 4090/9822?

Answer: LCM of Numerators as per given numbers 800/763, 4090/9822 is

LCM of Numerators i.e. for 800,4090 is 327200

GCF of denominators i.e. for 763,9822 is 1.

Thus, LCM of Fractions is 327200.Finally, LCM of Fractions for 800/763, 4090/9822 is 327200.