Least Common Multiple of 13/22, 74/84, 43/14, 33/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/22, 74/84, 43/14, 33/842 quickly i.e. 682539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/22, 74/84, 43/14, 33/842 is 682539.

LCM(13/22, 74/84, 43/14, 33/842) = 682539

LCM of 13/22, 74/84, 43/14, 33/842

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 13/22,74/84,43/14,33/842

Given numbers are 13/22,74/84,43/14,33/842

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 13,74,43,33

Least Common Multiple of Numerators i.e. LCM of 13,74,43,33 is 1365078.

GCF of Denominators means GCF of 22,84,14,842 as per the given fractions.

GCF of 22,84,14,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,74,43,33

LCM of Fractions 13/22,74/84,43/14,33/842 is 682539

Given numbers has no common factors except 1. So, there LCM is their product i.e 1365078

Least Common Multiple of 13,74,43,33 with GCF Formula

Least Common Multiple of 13,74,43,33 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 13,74,43,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,74,43,33) = 1

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

GCF(13,74,43,33) x common factors =1 x 1 = 1

LCM(13,74,43,33) = ( 13 × 74 × 43 × 33 ) / 1

LCM(13,74,43,33) = 1365078 / 1

LCM(13,74,43,33) = 1365078


Lets's calculate GCF of 22,84,14,842

2 22, 84, 14, 842
11, 42, 7, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1365078/2

Therefore the LCM of Fractions 13/22,74/84,43/14,33/842 is 682539

Greatest Common Factor of 22,84,14,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,84,14,842 By Matching Biggest Common Factor Method

Factors of 22

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

1,2,11,22

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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 22,84,14,842 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,14,842 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 13/22, 74/84, 43/14, 33/842

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 13/22, 74/84, 43/14, 33/842?

Answer: LCM of Numerators as per given numbers 13/22, 74/84, 43/14, 33/842 is

LCM of Numerators i.e. for 13,74,43,33 is 1365078

GCF of denominators i.e. for 22,84,14,842 is 2.

Thus, LCM of Fractions is 682539.Finally, LCM of Fractions for 13/22, 74/84, 43/14, 33/842 is 682539.