Least Common Multiple of 2028/77, 2400/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2028/77, 2400/561 quickly i.e. 405600/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2028/77, 2400/561 is 405600/11.

LCM(2028/77, 2400/561) = 405600/11

LCM of 2028/77, 2400/561

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 2028/77,2400/561

Given numbers are 2028/77,2400/561

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 2028,2400

Least Common Multiple of Numerators i.e. LCM of 2028,2400 is 405600.

GCF of Denominators means GCF of 77,561 as per the given fractions.

GCF of 77,561 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2028,2400

LCM of Fractions 2028/77,2400/561 is 405600/11

2 2028, 2400
2 1014, 1200
3 507, 600
169, 200

∴ So the LCM of the given numbers is 2 x 2 x 3 x 169 x 200 = 405600

Least Common Multiple of 2028,2400 with GCF Formula

Least Common Multiple of 2028,2400 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 2028,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2028,2400) = 12

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

GCF(2028,2400) x common factors =12 x 1 = 12

LCM(2028,2400) = ( 2028 × 2400 ) / 12

LCM(2028,2400) = 4867200 / 12

LCM(2028,2400) = 405600


Lets's calculate GCF of 77,561

11 77, 561
7, 51

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405600/11

Therefore the LCM of Fractions 2028/77,2400/561 is 405600/11

Greatest Common Factor of 77,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,561 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 561

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

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

Greatest Common Factor

We found the factors 77,561 . The biggest common factor number is the GCF number.
So the greatest common factor 77,561 is 11.


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 2028/77, 2400/561

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 2028/77, 2400/561?

Answer: LCM of Numerators as per given numbers 2028/77, 2400/561 is

LCM of Numerators i.e. for 2028,2400 is 405600

GCF of denominators i.e. for 77,561 is 11.

Thus, LCM of Fractions is 405600/11.Finally, LCM of Fractions for 2028/77, 2400/561 is 405600/11.