Least Common Multiple of 17/874, 69/195, 302/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/874, 69/195, 302/827 quickly i.e. 354246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/874, 69/195, 302/827 is 354246.

LCM(17/874, 69/195, 302/827) = 354246

LCM of 17/874, 69/195, 302/827

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 17/874,69/195,302/827

Given numbers are 17/874,69/195,302/827

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 17,69,302

Least Common Multiple of Numerators i.e. LCM of 17,69,302 is 354246.

GCF of Denominators means GCF of 874,195,827 as per the given fractions.

GCF of 874,195,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,69,302

LCM of Fractions 17/874,69/195,302/827 is 354246

Given numbers has no common factors except 1. So, there LCM is their product i.e 354246

Least Common Multiple of 17,69,302 with GCF Formula

Least Common Multiple of 17,69,302 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 17,69,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,69,302) = 1

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

GCF(17,69,302) x common factors =1 x 1 = 1

LCM(17,69,302) = ( 17 × 69 × 302 ) / 1

LCM(17,69,302) = 354246 / 1

LCM(17,69,302) = 354246


Lets's calculate GCF of 874,195,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354246/1

Therefore the LCM of Fractions 17/874,69/195,302/827 is 354246

Greatest Common Factor of 874,195,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,195,827 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 874,195,827 . The biggest common factor number is the GCF number.
So the greatest common factor 874,195,827 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 17/874, 69/195, 302/827

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 17/874, 69/195, 302/827?

Answer: LCM of Numerators as per given numbers 17/874, 69/195, 302/827 is

LCM of Numerators i.e. for 17,69,302 is 354246

GCF of denominators i.e. for 874,195,827 is 1.

Thus, LCM of Fractions is 354246.Finally, LCM of Fractions for 17/874, 69/195, 302/827 is 354246.