Least Common Multiple of 17/931, 41/717, 208/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/931, 41/717, 208/302 quickly i.e. 144976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/931, 41/717, 208/302 is 144976.

LCM(17/931, 41/717, 208/302) = 144976

LCM of 17/931, 41/717, 208/302

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 17/931,41/717,208/302

Given numbers are 17/931,41/717,208/302

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 17,41,208

Least Common Multiple of Numerators i.e. LCM of 17,41,208 is 144976.

GCF of Denominators means GCF of 931,717,302 as per the given fractions.

GCF of 931,717,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,41,208

LCM of Fractions 17/931,41/717,208/302 is 144976

Given numbers has no common factors except 1. So, there LCM is their product i.e 144976

Least Common Multiple of 17,41,208 with GCF Formula

Least Common Multiple of 17,41,208 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 17,41,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,41,208) = 1

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

GCF(17,41,208) x common factors =1 x 1 = 1

LCM(17,41,208) = ( 17 × 41 × 208 ) / 1

LCM(17,41,208) = 144976 / 1

LCM(17,41,208) = 144976


Lets's calculate GCF of 931,717,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144976/1

Therefore the LCM of Fractions 17/931,41/717,208/302 is 144976

Greatest Common Factor of 931,717,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,717,302 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 931,717,302 . The biggest common factor number is the GCF number.
So the greatest common factor 931,717,302 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 17/931, 41/717, 208/302

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 17/931, 41/717, 208/302?

Answer: LCM of Numerators as per given numbers 17/931, 41/717, 208/302 is

LCM of Numerators i.e. for 17,41,208 is 144976

GCF of denominators i.e. for 931,717,302 is 1.

Thus, LCM of Fractions is 144976.Finally, LCM of Fractions for 17/931, 41/717, 208/302 is 144976.