Least Common Multiple of 89/703, 43/509, 521/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/703, 43/509, 521/361 quickly i.e. 1993867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/703, 43/509, 521/361 is 1993867.

LCM(89/703, 43/509, 521/361) = 1993867

LCM of 89/703, 43/509, 521/361

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 89/703,43/509,521/361

Given numbers are 89/703,43/509,521/361

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 89,43,521

Least Common Multiple of Numerators i.e. LCM of 89,43,521 is 1993867.

GCF of Denominators means GCF of 703,509,361 as per the given fractions.

GCF of 703,509,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,43,521

LCM of Fractions 89/703,43/509,521/361 is 1993867

Given numbers has no common factors except 1. So, there LCM is their product i.e 1993867

Least Common Multiple of 89,43,521 with GCF Formula

Least Common Multiple of 89,43,521 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 89,43,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,43,521) = 1

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

GCF(89,43,521) x common factors =1 x 1 = 1

LCM(89,43,521) = ( 89 × 43 × 521 ) / 1

LCM(89,43,521) = 1993867 / 1

LCM(89,43,521) = 1993867


Lets's calculate GCF of 703,509,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1993867/1

Therefore the LCM of Fractions 89/703,43/509,521/361 is 1993867

Greatest Common Factor of 703,509,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,509,361 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 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 703,509,361 . The biggest common factor number is the GCF number.
So the greatest common factor 703,509,361 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 89/703, 43/509, 521/361

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 89/703, 43/509, 521/361?

Answer: LCM of Numerators as per given numbers 89/703, 43/509, 521/361 is

LCM of Numerators i.e. for 89,43,521 is 1993867

GCF of denominators i.e. for 703,509,361 is 1.

Thus, LCM of Fractions is 1993867.Finally, LCM of Fractions for 89/703, 43/509, 521/361 is 1993867.