Least Common Multiple of 780/84, 567/9788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/84, 567/9788 quickly i.e. 36855 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, 567/9788 is 36855.

LCM(780/84, 567/9788) = 36855

LCM of 780/84, 567/9788

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 780/84,567/9788

Given numbers are 780/84,567/9788

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 780,567

Least Common Multiple of Numerators i.e. LCM of 780,567 is 147420.

GCF of Denominators means GCF of 84,9788 as per the given fractions.

GCF of 84,9788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,567

LCM of Fractions 780/84,567/9788 is 36855

3 780, 567
260, 189

∴ So the LCM of the given numbers is 3 x 260 x 189 = 147420

Least Common Multiple of 780,567 with GCF Formula

Least Common Multiple of 780,567 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 780,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,567) = 3

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

GCF(780,567) x common factors =3 x 1 = 3

LCM(780,567) = ( 780 × 567 ) / 3

LCM(780,567) = 442260 / 3

LCM(780,567) = 147420


Lets's calculate GCF of 84,9788

2 84, 9788
2 42, 4894
21, 2447

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147420/4

Therefore the LCM of Fractions 780/84,567/9788 is 36855

Greatest Common Factor of 84,9788 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,9788 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 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Greatest Common Factor

We found the factors 84,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 84,9788 is 4.


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, 567/9788

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, 567/9788?

Answer: LCM of Numerators as per given numbers 780/84, 567/9788 is

LCM of Numerators i.e. for 780,567 is 147420

GCF of denominators i.e. for 84,9788 is 4.

Thus, LCM of Fractions is 36855.Finally, LCM of Fractions for 780/84, 567/9788 is 36855.