Least Common Multiple of 480/675, 4991/2211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/675, 4991/2211 quickly i.e. 798560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/675, 4991/2211 is 798560.

LCM(480/675, 4991/2211) = 798560

LCM of 480/675, 4991/2211

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 480/675,4991/2211

Given numbers are 480/675,4991/2211

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 480,4991

Least Common Multiple of Numerators i.e. LCM of 480,4991 is 2395680.

GCF of Denominators means GCF of 675,2211 as per the given fractions.

GCF of 675,2211 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,4991

LCM of Fractions 480/675,4991/2211 is 798560

Given numbers has no common factors except 1. So, there LCM is their product i.e 2395680

Least Common Multiple of 480,4991 with GCF Formula

Least Common Multiple of 480,4991 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 480,4991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,4991) = 1

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

GCF(480,4991) x common factors =1 x 1 = 1

LCM(480,4991) = ( 480 × 4991 ) / 1

LCM(480,4991) = 2395680 / 1

LCM(480,4991) = 2395680


Lets's calculate GCF of 675,2211

3 675, 2211
225, 737

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2395680/3

Therefore the LCM of Fractions 480/675,4991/2211 is 798560

Greatest Common Factor of 675,2211 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,2211 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1,3,11,33,67,201,737,2211

Greatest Common Factor

We found the factors 675,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 675,2211 is 3.


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 480/675, 4991/2211

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 480/675, 4991/2211?

Answer: LCM of Numerators as per given numbers 480/675, 4991/2211 is

LCM of Numerators i.e. for 480,4991 is 2395680

GCF of denominators i.e. for 675,2211 is 3.

Thus, LCM of Fractions is 798560.Finally, LCM of Fractions for 480/675, 4991/2211 is 798560.