Least Common Multiple of 780/144, 8594/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/144, 8594/813 quickly i.e. 1117220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/144, 8594/813 is 1117220.

LCM(780/144, 8594/813) = 1117220

LCM of 780/144, 8594/813

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 780/144,8594/813

Given numbers are 780/144,8594/813

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 780,8594

Least Common Multiple of Numerators i.e. LCM of 780,8594 is 3351660.

GCF of Denominators means GCF of 144,813 as per the given fractions.

GCF of 144,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,8594

LCM of Fractions 780/144,8594/813 is 1117220

2 780, 8594
390, 4297

∴ So the LCM of the given numbers is 2 x 390 x 4297 = 3351660

Least Common Multiple of 780,8594 with GCF Formula

Least Common Multiple of 780,8594 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 780,8594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,8594) = 2

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

GCF(780,8594) x common factors =2 x 1 = 2

LCM(780,8594) = ( 780 × 8594 ) / 2

LCM(780,8594) = 6703320 / 2

LCM(780,8594) = 3351660


Lets's calculate GCF of 144,813

3 144, 813
48, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3351660/3

Therefore the LCM of Fractions 780/144,8594/813 is 1117220

Greatest Common Factor of 144,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,813 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 144,813 . The biggest common factor number is the GCF number.
So the greatest common factor 144,813 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 780/144, 8594/813

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 780/144, 8594/813?

Answer: LCM of Numerators as per given numbers 780/144, 8594/813 is

LCM of Numerators i.e. for 780,8594 is 3351660

GCF of denominators i.e. for 144,813 is 3.

Thus, LCM of Fractions is 1117220.Finally, LCM of Fractions for 780/144, 8594/813 is 1117220.