Least Common Multiple of 17/703, 99/319, 315/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/703, 99/319, 315/432 quickly i.e. 58905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/703, 99/319, 315/432 is 58905.

LCM(17/703, 99/319, 315/432) = 58905

LCM of 17/703, 99/319, 315/432

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 17/703,99/319,315/432

Given numbers are 17/703,99/319,315/432

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 17,99,315

Least Common Multiple of Numerators i.e. LCM of 17,99,315 is 58905.

GCF of Denominators means GCF of 703,319,432 as per the given fractions.

GCF of 703,319,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,99,315

LCM of Fractions 17/703,99/319,315/432 is 58905

3 17, 99, 315
3 17, 33, 105
17, 11, 35

∴ So the LCM of the given numbers is 3 x 3 x 17 x 11 x 35 = 58905

Least Common Multiple of 17,99,315 with GCF Formula

Least Common Multiple of 17,99,315 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 17,99,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,99,315) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(17,99,315) x common factors =1 x 9 = 9

LCM(17,99,315) = ( 17 × 99 × 315 ) / 9

LCM(17,99,315) = 530145 / 9

LCM(17,99,315) = 58905


Lets's calculate GCF of 703,319,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58905/1

Therefore the LCM of Fractions 17/703,99/319,315/432 is 58905

Greatest Common Factor of 703,319,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,319,432 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 703,319,432 . The biggest common factor number is the GCF number.
So the greatest common factor 703,319,432 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 17/703, 99/319, 315/432

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 17/703, 99/319, 315/432?

Answer: LCM of Numerators as per given numbers 17/703, 99/319, 315/432 is

LCM of Numerators i.e. for 17,99,315 is 58905

GCF of denominators i.e. for 703,319,432 is 1.

Thus, LCM of Fractions is 58905.Finally, LCM of Fractions for 17/703, 99/319, 315/432 is 58905.