Least Common Multiple of 17/208, 50/257, 150/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/208, 50/257, 150/814 quickly i.e. 2550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/208, 50/257, 150/814 is 2550.

LCM(17/208, 50/257, 150/814) = 2550

LCM of 17/208, 50/257, 150/814

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 17/208,50/257,150/814

Given numbers are 17/208,50/257,150/814

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 17,50,150

Least Common Multiple of Numerators i.e. LCM of 17,50,150 is 2550.

GCF of Denominators means GCF of 208,257,814 as per the given fractions.

GCF of 208,257,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,50,150

LCM of Fractions 17/208,50/257,150/814 is 2550

2 17, 50, 150
5 17, 25, 75
5 17, 5, 15
17, 1, 3

∴ So the LCM of the given numbers is 2 x 5 x 5 x 17 x 1 x 3 = 2550

Least Common Multiple of 17,50,150 with GCF Formula

Least Common Multiple of 17,50,150 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 17,50,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,50,150) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(17,50,150) x common factors =1 x 50 = 50

LCM(17,50,150) = ( 17 × 50 × 150 ) / 50

LCM(17,50,150) = 127500 / 50

LCM(17,50,150) = 2550


Lets's calculate GCF of 208,257,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2550/1

Therefore the LCM of Fractions 17/208,50/257,150/814 is 2550

Greatest Common Factor of 208,257,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,257,814 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 208,257,814 . The biggest common factor number is the GCF number.
So the greatest common factor 208,257,814 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 17/208, 50/257, 150/814

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 17/208, 50/257, 150/814?

Answer: LCM of Numerators as per given numbers 17/208, 50/257, 150/814 is

LCM of Numerators i.e. for 17,50,150 is 2550

GCF of denominators i.e. for 208,257,814 is 1.

Thus, LCM of Fractions is 2550.Finally, LCM of Fractions for 17/208, 50/257, 150/814 is 2550.