Least Common Multiple of 494/73, 805/29, 780/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/73, 805/29, 780/750 quickly i.e. 2386020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/73, 805/29, 780/750 is 2386020.

LCM(494/73, 805/29, 780/750) = 2386020

LCM of 494/73, 805/29, 780/750

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 494/73,805/29,780/750

Given numbers are 494/73,805/29,780/750

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 494,805,780

Least Common Multiple of Numerators i.e. LCM of 494,805,780 is 2386020.

GCF of Denominators means GCF of 73,29,750 as per the given fractions.

GCF of 73,29,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,805,780

LCM of Fractions 494/73,805/29,780/750 is 2386020

2 494, 805, 780
5 247, 805, 390
13 247, 161, 78
19, 161, 6

∴ So the LCM of the given numbers is 2 x 5 x 13 x 19 x 161 x 6 = 2386020

Least Common Multiple of 494,805,780 with GCF Formula

Least Common Multiple of 494,805,780 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 494,805,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,805,780) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(494,805,780) x common factors =1 x 130 = 130

LCM(494,805,780) = ( 494 × 805 × 780 ) / 130

LCM(494,805,780) = 310182600 / 130

LCM(494,805,780) = 2386020


Lets's calculate GCF of 73,29,750

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2386020/1

Therefore the LCM of Fractions 494/73,805/29,780/750 is 2386020

Greatest Common Factor of 73,29,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,29,750 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 73,29,750 . The biggest common factor number is the GCF number.
So the greatest common factor 73,29,750 is 1.


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 494/73, 805/29, 780/750

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 494/73, 805/29, 780/750?

Answer: LCM of Numerators as per given numbers 494/73, 805/29, 780/750 is

LCM of Numerators i.e. for 494,805,780 is 2386020

GCF of denominators i.e. for 73,29,750 is 1.

Thus, LCM of Fractions is 2386020.Finally, LCM of Fractions for 494/73, 805/29, 780/750 is 2386020.