Least Common Multiple of 43/780, 693/190, 104/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/780, 693/190, 104/824 quickly i.e. 1549548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/780, 693/190, 104/824 is 1549548.

LCM(43/780, 693/190, 104/824) = 1549548

LCM of 43/780, 693/190, 104/824

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 43/780,693/190,104/824

Given numbers are 43/780,693/190,104/824

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 43,693,104

Least Common Multiple of Numerators i.e. LCM of 43,693,104 is 3099096.

GCF of Denominators means GCF of 780,190,824 as per the given fractions.

GCF of 780,190,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,693,104

LCM of Fractions 43/780,693/190,104/824 is 1549548

Given numbers has no common factors except 1. So, there LCM is their product i.e 3099096

Least Common Multiple of 43,693,104 with GCF Formula

Least Common Multiple of 43,693,104 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 43,693,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,693,104) = 1

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

GCF(43,693,104) x common factors =1 x 1 = 1

LCM(43,693,104) = ( 43 × 693 × 104 ) / 1

LCM(43,693,104) = 3099096 / 1

LCM(43,693,104) = 3099096


Lets's calculate GCF of 780,190,824

2 780, 190, 824
390, 95, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3099096/2

Therefore the LCM of Fractions 43/780,693/190,104/824 is 1549548

Greatest Common Factor of 780,190,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,190,824 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 780,190,824 . The biggest common factor number is the GCF number.
So the greatest common factor 780,190,824 is 2.


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 43/780, 693/190, 104/824

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 43/780, 693/190, 104/824?

Answer: LCM of Numerators as per given numbers 43/780, 693/190, 104/824 is

LCM of Numerators i.e. for 43,693,104 is 3099096

GCF of denominators i.e. for 780,190,824 is 2.

Thus, LCM of Fractions is 1549548.Finally, LCM of Fractions for 43/780, 693/190, 104/824 is 1549548.