Least Common Multiple of 780/84, 111/1569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/84, 111/1569 quickly i.e. 9620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/84, 111/1569 is 9620.

LCM(780/84, 111/1569) = 9620

LCM of 780/84, 111/1569

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 780/84,111/1569

Given numbers are 780/84,111/1569

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 780,111

Least Common Multiple of Numerators i.e. LCM of 780,111 is 28860.

GCF of Denominators means GCF of 84,1569 as per the given fractions.

GCF of 84,1569 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,111

LCM of Fractions 780/84,111/1569 is 9620

3 780, 111
260, 37

∴ So the LCM of the given numbers is 3 x 260 x 37 = 28860

Least Common Multiple of 780,111 with GCF Formula

Least Common Multiple of 780,111 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 780,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,111) = 3

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

GCF(780,111) x common factors =3 x 1 = 3

LCM(780,111) = ( 780 × 111 ) / 3

LCM(780,111) = 86580 / 3

LCM(780,111) = 28860


Lets's calculate GCF of 84,1569

3 84, 1569
28, 523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28860/3

Therefore the LCM of Fractions 780/84,111/1569 is 9620

Greatest Common Factor of 84,1569 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1569 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors 84,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1569 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 780/84, 111/1569

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 780/84, 111/1569?

Answer: LCM of Numerators as per given numbers 780/84, 111/1569 is

LCM of Numerators i.e. for 780,111 is 28860

GCF of denominators i.e. for 84,1569 is 3.

Thus, LCM of Fractions is 9620.Finally, LCM of Fractions for 780/84, 111/1569 is 9620.