Least Common Multiple of 806/506, 207/604, 175/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/506, 207/604, 175/650 quickly i.e. 14598675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/506, 207/604, 175/650 is 14598675.

LCM(806/506, 207/604, 175/650) = 14598675

LCM of 806/506, 207/604, 175/650

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 806/506,207/604,175/650

Given numbers are 806/506,207/604,175/650

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 806,207,175

Least Common Multiple of Numerators i.e. LCM of 806,207,175 is 29197350.

GCF of Denominators means GCF of 506,604,650 as per the given fractions.

GCF of 506,604,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,207,175

LCM of Fractions 806/506,207/604,175/650 is 14598675

Given numbers has no common factors except 1. So, there LCM is their product i.e 29197350

Least Common Multiple of 806,207,175 with GCF Formula

Least Common Multiple of 806,207,175 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 806,207,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,207,175) = 1

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

GCF(806,207,175) x common factors =1 x 1 = 1

LCM(806,207,175) = ( 806 × 207 × 175 ) / 1

LCM(806,207,175) = 29197350 / 1

LCM(806,207,175) = 29197350


Lets's calculate GCF of 506,604,650

2 506, 604, 650
253, 302, 325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29197350/2

Therefore the LCM of Fractions 806/506,207/604,175/650 is 14598675

Greatest Common Factor of 506,604,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,604,650 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 506,604,650 . The biggest common factor number is the GCF number.
So the greatest common factor 506,604,650 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 806/506, 207/604, 175/650

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 806/506, 207/604, 175/650?

Answer: LCM of Numerators as per given numbers 806/506, 207/604, 175/650 is

LCM of Numerators i.e. for 806,207,175 is 29197350

GCF of denominators i.e. for 506,604,650 is 2.

Thus, LCM of Fractions is 14598675.Finally, LCM of Fractions for 806/506, 207/604, 175/650 is 14598675.