Least Common Multiple of 300/561, 2911/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/561, 2911/782 quickly i.e. 873300/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/561, 2911/782 is 873300/17.

LCM(300/561, 2911/782) = 873300/17

LCM of 300/561, 2911/782

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 300/561,2911/782

Given numbers are 300/561,2911/782

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 300,2911

Least Common Multiple of Numerators i.e. LCM of 300,2911 is 873300.

GCF of Denominators means GCF of 561,782 as per the given fractions.

GCF of 561,782 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,2911

LCM of Fractions 300/561,2911/782 is 873300/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 873300

Least Common Multiple of 300,2911 with GCF Formula

Least Common Multiple of 300,2911 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 300,2911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,2911) = 1

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

GCF(300,2911) x common factors =1 x 1 = 1

LCM(300,2911) = ( 300 × 2911 ) / 1

LCM(300,2911) = 873300 / 1

LCM(300,2911) = 873300


Lets's calculate GCF of 561,782

17 561, 782
33, 46

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 873300/17

Therefore the LCM of Fractions 300/561,2911/782 is 873300/17

Greatest Common Factor of 561,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,782 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 561,782 . The biggest common factor number is the GCF number.
So the greatest common factor 561,782 is 17.


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 300/561, 2911/782

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 300/561, 2911/782?

Answer: LCM of Numerators as per given numbers 300/561, 2911/782 is

LCM of Numerators i.e. for 300,2911 is 873300

GCF of denominators i.e. for 561,782 is 17.

Thus, LCM of Fractions is 873300/17.Finally, LCM of Fractions for 300/561, 2911/782 is 873300/17.