Least Common Multiple of 506/80, 723/34, 907/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/80, 723/34, 907/724 quickly i.e. 165907533 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/80, 723/34, 907/724 is 165907533.

LCM(506/80, 723/34, 907/724) = 165907533

LCM of 506/80, 723/34, 907/724

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 506/80,723/34,907/724

Given numbers are 506/80,723/34,907/724

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 506,723,907

Least Common Multiple of Numerators i.e. LCM of 506,723,907 is 331815066.

GCF of Denominators means GCF of 80,34,724 as per the given fractions.

GCF of 80,34,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,723,907

LCM of Fractions 506/80,723/34,907/724 is 165907533

Given numbers has no common factors except 1. So, there LCM is their product i.e 331815066

Least Common Multiple of 506,723,907 with GCF Formula

Least Common Multiple of 506,723,907 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 506,723,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,723,907) = 1

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

GCF(506,723,907) x common factors =1 x 1 = 1

LCM(506,723,907) = ( 506 × 723 × 907 ) / 1

LCM(506,723,907) = 331815066 / 1

LCM(506,723,907) = 331815066


Lets's calculate GCF of 80,34,724

2 80, 34, 724
40, 17, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331815066/2

Therefore the LCM of Fractions 506/80,723/34,907/724 is 165907533

Greatest Common Factor of 80,34,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,34,724 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 80,34,724 . The biggest common factor number is the GCF number.
So the greatest common factor 80,34,724 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 506/80, 723/34, 907/724

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 506/80, 723/34, 907/724?

Answer: LCM of Numerators as per given numbers 506/80, 723/34, 907/724 is

LCM of Numerators i.e. for 506,723,907 is 331815066

GCF of denominators i.e. for 80,34,724 is 2.

Thus, LCM of Fractions is 165907533.Finally, LCM of Fractions for 506/80, 723/34, 907/724 is 165907533.