Least Common Multiple of 17/43, 99/50, 66/84, 67/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/43, 99/50, 66/84, 67/796 quickly i.e. 225522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/43, 99/50, 66/84, 67/796 is 225522.

LCM(17/43, 99/50, 66/84, 67/796) = 225522

LCM of 17/43, 99/50, 66/84, 67/796

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 17/43,99/50,66/84,67/796

Given numbers are 17/43,99/50,66/84,67/796

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 17,99,66,67

Least Common Multiple of Numerators i.e. LCM of 17,99,66,67 is 225522.

GCF of Denominators means GCF of 43,50,84,796 as per the given fractions.

GCF of 43,50,84,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,99,66,67

LCM of Fractions 17/43,99/50,66/84,67/796 is 225522

3 17, 99, 66, 67
11 17, 33, 22, 67
17, 3, 2, 67

∴ So the LCM of the given numbers is 3 x 11 x 17 x 3 x 2 x 67 = 225522

Least Common Multiple of 17,99,66,67 with GCF Formula

Least Common Multiple of 17,99,66,67 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 17,99,66,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,99,66,67) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(17,99,66,67) x common factors =1 x 33 = 33

LCM(17,99,66,67) = ( 17 × 99 × 66 × 67 ) / 33

LCM(17,99,66,67) = 7442226 / 33

LCM(17,99,66,67) = 225522


Lets's calculate GCF of 43,50,84,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225522/1

Therefore the LCM of Fractions 17/43,99/50,66/84,67/796 is 225522

Greatest Common Factor of 43,50,84,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,50,84,796 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 43,50,84,796 . The biggest common factor number is the GCF number.
So the greatest common factor 43,50,84,796 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 17/43, 99/50, 66/84, 67/796

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 17/43, 99/50, 66/84, 67/796?

Answer: LCM of Numerators as per given numbers 17/43, 99/50, 66/84, 67/796 is

LCM of Numerators i.e. for 17,99,66,67 is 225522

GCF of denominators i.e. for 43,50,84,796 is 1.

Thus, LCM of Fractions is 225522.Finally, LCM of Fractions for 17/43, 99/50, 66/84, 67/796 is 225522.