Least Common Multiple of 17/437, 76/565, 215/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/437, 76/565, 215/605 quickly i.e. 277780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/437, 76/565, 215/605 is 277780.

LCM(17/437, 76/565, 215/605) = 277780

LCM of 17/437, 76/565, 215/605

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 17/437,76/565,215/605

Given numbers are 17/437,76/565,215/605

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 17,76,215

Least Common Multiple of Numerators i.e. LCM of 17,76,215 is 277780.

GCF of Denominators means GCF of 437,565,605 as per the given fractions.

GCF of 437,565,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,76,215

LCM of Fractions 17/437,76/565,215/605 is 277780

Given numbers has no common factors except 1. So, there LCM is their product i.e 277780

Least Common Multiple of 17,76,215 with GCF Formula

Least Common Multiple of 17,76,215 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 17,76,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,76,215) = 1

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

GCF(17,76,215) x common factors =1 x 1 = 1

LCM(17,76,215) = ( 17 × 76 × 215 ) / 1

LCM(17,76,215) = 277780 / 1

LCM(17,76,215) = 277780


Lets's calculate GCF of 437,565,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277780/1

Therefore the LCM of Fractions 17/437,76/565,215/605 is 277780

Greatest Common Factor of 437,565,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,565,605 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 437,565,605 . The biggest common factor number is the GCF number.
So the greatest common factor 437,565,605 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 17/437, 76/565, 215/605

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 17/437, 76/565, 215/605?

Answer: LCM of Numerators as per given numbers 17/437, 76/565, 215/605 is

LCM of Numerators i.e. for 17,76,215 is 277780

GCF of denominators i.e. for 437,565,605 is 1.

Thus, LCM of Fractions is 277780.Finally, LCM of Fractions for 17/437, 76/565, 215/605 is 277780.