Least Common Multiple of 359/85, 489/9707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 359/85, 489/9707 quickly i.e. 175551/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 359/85, 489/9707 is 175551/17.

LCM(359/85, 489/9707) = 175551/17

LCM of 359/85, 489/9707

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 359/85,489/9707

Given numbers are 359/85,489/9707

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 359,489

Least Common Multiple of Numerators i.e. LCM of 359,489 is 175551.

GCF of Denominators means GCF of 85,9707 as per the given fractions.

GCF of 85,9707 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 359,489

LCM of Fractions 359/85,489/9707 is 175551/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 175551

Least Common Multiple of 359,489 with GCF Formula

Least Common Multiple of 359,489 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 359,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,489) = 1

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

GCF(359,489) x common factors =1 x 1 = 1

LCM(359,489) = ( 359 × 489 ) / 1

LCM(359,489) = 175551 / 1

LCM(359,489) = 175551


Lets's calculate GCF of 85,9707

17 85, 9707
5, 571

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175551/17

Therefore the LCM of Fractions 359/85,489/9707 is 175551/17

Greatest Common Factor of 85,9707 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,9707 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Greatest Common Factor

We found the factors 85,9707 . The biggest common factor number is the GCF number.
So the greatest common factor 85,9707 is 17.


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 359/85, 489/9707

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 359/85, 489/9707?

Answer: LCM of Numerators as per given numbers 359/85, 489/9707 is

LCM of Numerators i.e. for 359,489 is 175551

GCF of denominators i.e. for 85,9707 is 17.

Thus, LCM of Fractions is 175551/17.Finally, LCM of Fractions for 359/85, 489/9707 is 175551/17.