Least Common Multiple of 9222/561, 1316/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9222/561, 1316/987 quickly i.e. 2022692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9222/561, 1316/987 is 2022692.

LCM(9222/561, 1316/987) = 2022692

LCM of 9222/561, 1316/987

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 9222/561,1316/987

Given numbers are 9222/561,1316/987

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 9222,1316

Least Common Multiple of Numerators i.e. LCM of 9222,1316 is 6068076.

GCF of Denominators means GCF of 561,987 as per the given fractions.

GCF of 561,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9222,1316

LCM of Fractions 9222/561,1316/987 is 2022692

2 9222, 1316
4611, 658

∴ So the LCM of the given numbers is 2 x 4611 x 658 = 6068076

Least Common Multiple of 9222,1316 with GCF Formula

Least Common Multiple of 9222,1316 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 9222,1316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9222,1316) = 2

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

GCF(9222,1316) x common factors =2 x 1 = 2

LCM(9222,1316) = ( 9222 × 1316 ) / 2

LCM(9222,1316) = 12136152 / 2

LCM(9222,1316) = 6068076


Lets's calculate GCF of 561,987

3 561, 987
187, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6068076/3

Therefore the LCM of Fractions 9222/561,1316/987 is 2022692

Greatest Common Factor of 561,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,987 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 561,987 . The biggest common factor number is the GCF number.
So the greatest common factor 561,987 is 3.


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 9222/561, 1316/987

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 9222/561, 1316/987?

Answer: LCM of Numerators as per given numbers 9222/561, 1316/987 is

LCM of Numerators i.e. for 9222,1316 is 6068076

GCF of denominators i.e. for 561,987 is 3.

Thus, LCM of Fractions is 2022692.Finally, LCM of Fractions for 9222/561, 1316/987 is 2022692.