Least Common Multiple of 33/991, 14/783, 688/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/991, 14/783, 688/900 quickly i.e. 158928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/991, 14/783, 688/900 is 158928.

LCM(33/991, 14/783, 688/900) = 158928

LCM of 33/991, 14/783, 688/900

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 33/991,14/783,688/900

Given numbers are 33/991,14/783,688/900

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 33,14,688

Least Common Multiple of Numerators i.e. LCM of 33,14,688 is 158928.

GCF of Denominators means GCF of 991,783,900 as per the given fractions.

GCF of 991,783,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,14,688

LCM of Fractions 33/991,14/783,688/900 is 158928

2 33, 14, 688
33, 7, 344

∴ So the LCM of the given numbers is 2 x 33 x 7 x 344 = 158928

Least Common Multiple of 33,14,688 with GCF Formula

Least Common Multiple of 33,14,688 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 33,14,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,14,688) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(33,14,688) x common factors =1 x 2 = 2

LCM(33,14,688) = ( 33 × 14 × 688 ) / 2

LCM(33,14,688) = 317856 / 2

LCM(33,14,688) = 158928


Lets's calculate GCF of 991,783,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158928/1

Therefore the LCM of Fractions 33/991,14/783,688/900 is 158928

Greatest Common Factor of 991,783,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,783,900 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 991,783,900 . The biggest common factor number is the GCF number.
So the greatest common factor 991,783,900 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 33/991, 14/783, 688/900

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 33/991, 14/783, 688/900?

Answer: LCM of Numerators as per given numbers 33/991, 14/783, 688/900 is

LCM of Numerators i.e. for 33,14,688 is 158928

GCF of denominators i.e. for 991,783,900 is 1.

Thus, LCM of Fractions is 158928.Finally, LCM of Fractions for 33/991, 14/783, 688/900 is 158928.