Least Common Multiple of 822/667, 912/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/667, 912/801 quickly i.e. 124944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/667, 912/801 is 124944.

LCM(822/667, 912/801) = 124944

LCM of 822/667, 912/801

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 822/667,912/801

Given numbers are 822/667,912/801

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 822,912

Least Common Multiple of Numerators i.e. LCM of 822,912 is 124944.

GCF of Denominators means GCF of 667,801 as per the given fractions.

GCF of 667,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,912

LCM of Fractions 822/667,912/801 is 124944

2 822, 912
3 411, 456
137, 152

∴ So the LCM of the given numbers is 2 x 3 x 137 x 152 = 124944

Least Common Multiple of 822,912 with GCF Formula

Least Common Multiple of 822,912 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 822,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,912) = 6

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

GCF(822,912) x common factors =6 x 1 = 6

LCM(822,912) = ( 822 × 912 ) / 6

LCM(822,912) = 749664 / 6

LCM(822,912) = 124944


Lets's calculate GCF of 667,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124944/1

Therefore the LCM of Fractions 822/667,912/801 is 124944

Greatest Common Factor of 667,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,801 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 667,801 . The biggest common factor number is the GCF number.
So the greatest common factor 667,801 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 822/667, 912/801

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 822/667, 912/801?

Answer: LCM of Numerators as per given numbers 822/667, 912/801 is

LCM of Numerators i.e. for 822,912 is 124944

GCF of denominators i.e. for 667,801 is 1.

Thus, LCM of Fractions is 124944.Finally, LCM of Fractions for 822/667, 912/801 is 124944.