Least Common Multiple of 33/488, 3091/7751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/488, 3091/7751 quickly i.e. 9273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/488, 3091/7751 is 9273.

LCM(33/488, 3091/7751) = 9273

LCM of 33/488, 3091/7751

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 33/488,3091/7751

Given numbers are 33/488,3091/7751

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 33,3091

Least Common Multiple of Numerators i.e. LCM of 33,3091 is 9273.

GCF of Denominators means GCF of 488,7751 as per the given fractions.

GCF of 488,7751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,3091

LCM of Fractions 33/488,3091/7751 is 9273

11 33, 3091
3, 281

∴ So the LCM of the given numbers is 11 x 3 x 281 = 9273

Least Common Multiple of 33,3091 with GCF Formula

Least Common Multiple of 33,3091 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 33,3091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,3091) = 11

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

GCF(33,3091) x common factors =11 x 1 = 11

LCM(33,3091) = ( 33 × 3091 ) / 11

LCM(33,3091) = 102003 / 11

LCM(33,3091) = 9273


Lets's calculate GCF of 488,7751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9273/1

Therefore the LCM of Fractions 33/488,3091/7751 is 9273

Greatest Common Factor of 488,7751 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,7751 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 7751

List of positive integer factors of 7751 that divides 7751 without a remainder.

1,23,337,7751

Greatest Common Factor

We found the factors 488,7751 . The biggest common factor number is the GCF number.
So the greatest common factor 488,7751 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 33/488, 3091/7751

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 33/488, 3091/7751?

Answer: LCM of Numerators as per given numbers 33/488, 3091/7751 is

LCM of Numerators i.e. for 33,3091 is 9273

GCF of denominators i.e. for 488,7751 is 1.

Thus, LCM of Fractions is 9273.Finally, LCM of Fractions for 33/488, 3091/7751 is 9273.