Least Common Multiple of 17/701, 57/829, 173/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/701, 57/829, 173/880 quickly i.e. 167637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/701, 57/829, 173/880 is 167637.

LCM(17/701, 57/829, 173/880) = 167637

LCM of 17/701, 57/829, 173/880

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 17/701,57/829,173/880

Given numbers are 17/701,57/829,173/880

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 17,57,173

Least Common Multiple of Numerators i.e. LCM of 17,57,173 is 167637.

GCF of Denominators means GCF of 701,829,880 as per the given fractions.

GCF of 701,829,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,57,173

LCM of Fractions 17/701,57/829,173/880 is 167637

Given numbers has no common factors except 1. So, there LCM is their product i.e 167637

Least Common Multiple of 17,57,173 with GCF Formula

Least Common Multiple of 17,57,173 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 17,57,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,57,173) = 1

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

GCF(17,57,173) x common factors =1 x 1 = 1

LCM(17,57,173) = ( 17 × 57 × 173 ) / 1

LCM(17,57,173) = 167637 / 1

LCM(17,57,173) = 167637


Lets's calculate GCF of 701,829,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167637/1

Therefore the LCM of Fractions 17/701,57/829,173/880 is 167637

Greatest Common Factor of 701,829,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,829,880 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 701,829,880 . The biggest common factor number is the GCF number.
So the greatest common factor 701,829,880 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 17/701, 57/829, 173/880

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 17/701, 57/829, 173/880?

Answer: LCM of Numerators as per given numbers 17/701, 57/829, 173/880 is

LCM of Numerators i.e. for 17,57,173 is 167637

GCF of denominators i.e. for 701,829,880 is 1.

Thus, LCM of Fractions is 167637.Finally, LCM of Fractions for 17/701, 57/829, 173/880 is 167637.