Least Common Multiple of 33/17, 44/34, 33/44, 79/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/17, 44/34, 33/44, 79/967 quickly i.e. 10428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/17, 44/34, 33/44, 79/967 is 10428.

LCM(33/17, 44/34, 33/44, 79/967) = 10428

LCM of 33/17, 44/34, 33/44, 79/967

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 33/17,44/34,33/44,79/967

Given numbers are 33/17,44/34,33/44,79/967

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 33,44,33,79

Least Common Multiple of Numerators i.e. LCM of 33,44,33,79 is 10428.

GCF of Denominators means GCF of 17,34,44,967 as per the given fractions.

GCF of 17,34,44,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,44,33,79

LCM of Fractions 33/17,44/34,33/44,79/967 is 10428

3 33, 44, 33, 79
11 11, 44, 11, 79
1, 4, 1, 79

∴ So the LCM of the given numbers is 3 x 11 x 1 x 4 x 1 x 79 = 10428

Least Common Multiple of 33,44,33,79 with GCF Formula

Least Common Multiple of 33,44,33,79 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 33,44,33,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,44,33,79) = 1

common factors(in case of two or more numbers have common factors) = 363

GCF(33,44,33,79) x common factors =1 x 363 = 363

LCM(33,44,33,79) = ( 33 × 44 × 33 × 79 ) / 363

LCM(33,44,33,79) = 3785364 / 363

LCM(33,44,33,79) = 10428


Lets's calculate GCF of 17,34,44,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10428/1

Therefore the LCM of Fractions 33/17,44/34,33/44,79/967 is 10428

Greatest Common Factor of 17,34,44,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,34,44,967 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 17,34,44,967 . The biggest common factor number is the GCF number.
So the greatest common factor 17,34,44,967 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 33/17, 44/34, 33/44, 79/967

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 33/17, 44/34, 33/44, 79/967?

Answer: LCM of Numerators as per given numbers 33/17, 44/34, 33/44, 79/967 is

LCM of Numerators i.e. for 33,44,33,79 is 10428

GCF of denominators i.e. for 17,34,44,967 is 1.

Thus, LCM of Fractions is 10428.Finally, LCM of Fractions for 33/17, 44/34, 33/44, 79/967 is 10428.