Least Common Multiple of 91/39, 99/36, 68/31, 33/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/39, 99/36, 68/31, 33/850 quickly i.e. 612612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/39, 99/36, 68/31, 33/850 is 612612.

LCM(91/39, 99/36, 68/31, 33/850) = 612612

LCM of 91/39, 99/36, 68/31, 33/850

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 91/39,99/36,68/31,33/850

Given numbers are 91/39,99/36,68/31,33/850

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 91,99,68,33

Least Common Multiple of Numerators i.e. LCM of 91,99,68,33 is 612612.

GCF of Denominators means GCF of 39,36,31,850 as per the given fractions.

GCF of 39,36,31,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,99,68,33

LCM of Fractions 91/39,99/36,68/31,33/850 is 612612

3 91, 99, 68, 33
11 91, 33, 68, 11
91, 3, 68, 1

∴ So the LCM of the given numbers is 3 x 11 x 91 x 3 x 68 x 1 = 612612

Least Common Multiple of 91,99,68,33 with GCF Formula

Least Common Multiple of 91,99,68,33 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 91,99,68,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,99,68,33) = 1

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

GCF(91,99,68,33) x common factors =1 x 33 = 33

LCM(91,99,68,33) = ( 91 × 99 × 68 × 33 ) / 33

LCM(91,99,68,33) = 20216196 / 33

LCM(91,99,68,33) = 612612


Lets's calculate GCF of 39,36,31,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612612/1

Therefore the LCM of Fractions 91/39,99/36,68/31,33/850 is 612612

Greatest Common Factor of 39,36,31,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,36,31,850 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 39,36,31,850 . The biggest common factor number is the GCF number.
So the greatest common factor 39,36,31,850 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 91/39, 99/36, 68/31, 33/850

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 91/39, 99/36, 68/31, 33/850?

Answer: LCM of Numerators as per given numbers 91/39, 99/36, 68/31, 33/850 is

LCM of Numerators i.e. for 91,99,68,33 is 612612

GCF of denominators i.e. for 39,36,31,850 is 1.

Thus, LCM of Fractions is 612612.Finally, LCM of Fractions for 91/39, 99/36, 68/31, 33/850 is 612612.