Least Common Multiple of 822/40, 977/9326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/40, 977/9326 quickly i.e. 401547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/40, 977/9326 is 401547.

LCM(822/40, 977/9326) = 401547

LCM of 822/40, 977/9326

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 822/40,977/9326

Given numbers are 822/40,977/9326

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 822,977

Least Common Multiple of Numerators i.e. LCM of 822,977 is 803094.

GCF of Denominators means GCF of 40,9326 as per the given fractions.

GCF of 40,9326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,977

LCM of Fractions 822/40,977/9326 is 401547

Given numbers has no common factors except 1. So, there LCM is their product i.e 803094

Least Common Multiple of 822,977 with GCF Formula

Least Common Multiple of 822,977 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 822,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,977) = 1

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

GCF(822,977) x common factors =1 x 1 = 1

LCM(822,977) = ( 822 × 977 ) / 1

LCM(822,977) = 803094 / 1

LCM(822,977) = 803094


Lets's calculate GCF of 40,9326

2 40, 9326
20, 4663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 803094/2

Therefore the LCM of Fractions 822/40,977/9326 is 401547

Greatest Common Factor of 40,9326 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9326 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9326

List of positive integer factors of 9326 that divides 9326 without a remainder.

1,2,4663,9326

Greatest Common Factor

We found the factors 40,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9326 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 822/40, 977/9326

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 822/40, 977/9326?

Answer: LCM of Numerators as per given numbers 822/40, 977/9326 is

LCM of Numerators i.e. for 822,977 is 803094

GCF of denominators i.e. for 40,9326 is 2.

Thus, LCM of Fractions is 401547.Finally, LCM of Fractions for 822/40, 977/9326 is 401547.