Least Common Multiple of 82/46, 22/22, 99/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/46, 22/22, 99/918 quickly i.e. 4059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/46, 22/22, 99/918 is 4059.

LCM(82/46, 22/22, 99/918) = 4059

LCM of 82/46, 22/22, 99/918

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 82/46,22/22,99/918

Given numbers are 82/46,22/22,99/918

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 82,22,99

Least Common Multiple of Numerators i.e. LCM of 82,22,99 is 8118.

GCF of Denominators means GCF of 46,22,918 as per the given fractions.

GCF of 46,22,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,22,99

LCM of Fractions 82/46,22/22,99/918 is 4059

2 82, 22, 99
11 41, 11, 99
41, 1, 9

∴ So the LCM of the given numbers is 2 x 11 x 41 x 1 x 9 = 8118

Least Common Multiple of 82,22,99 with GCF Formula

Least Common Multiple of 82,22,99 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 82,22,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,22,99) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(82,22,99) x common factors =1 x 22 = 22

LCM(82,22,99) = ( 82 × 22 × 99 ) / 22

LCM(82,22,99) = 178596 / 22

LCM(82,22,99) = 8118


Lets's calculate GCF of 46,22,918

2 46, 22, 918
23, 11, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8118/2

Therefore the LCM of Fractions 82/46,22/22,99/918 is 4059

Greatest Common Factor of 46,22,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,22,918 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 46,22,918 . The biggest common factor number is the GCF number.
So the greatest common factor 46,22,918 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 82/46, 22/22, 99/918

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 82/46, 22/22, 99/918?

Answer: LCM of Numerators as per given numbers 82/46, 22/22, 99/918 is

LCM of Numerators i.e. for 82,22,99 is 8118

GCF of denominators i.e. for 46,22,918 is 2.

Thus, LCM of Fractions is 4059.Finally, LCM of Fractions for 82/46, 22/22, 99/918 is 4059.