Least Common Multiple of 89/345, 86/720, 545/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/345, 86/720, 545/347 quickly i.e. 4171430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/345, 86/720, 545/347 is 4171430.

LCM(89/345, 86/720, 545/347) = 4171430

LCM of 89/345, 86/720, 545/347

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 89/345,86/720,545/347

Given numbers are 89/345,86/720,545/347

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 89,86,545

Least Common Multiple of Numerators i.e. LCM of 89,86,545 is 4171430.

GCF of Denominators means GCF of 345,720,347 as per the given fractions.

GCF of 345,720,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,86,545

LCM of Fractions 89/345,86/720,545/347 is 4171430

Given numbers has no common factors except 1. So, there LCM is their product i.e 4171430

Least Common Multiple of 89,86,545 with GCF Formula

Least Common Multiple of 89,86,545 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 89,86,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,86,545) = 1

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

GCF(89,86,545) x common factors =1 x 1 = 1

LCM(89,86,545) = ( 89 × 86 × 545 ) / 1

LCM(89,86,545) = 4171430 / 1

LCM(89,86,545) = 4171430


Lets's calculate GCF of 345,720,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4171430/1

Therefore the LCM of Fractions 89/345,86/720,545/347 is 4171430

Greatest Common Factor of 345,720,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,720,347 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 345,720,347 . The biggest common factor number is the GCF number.
So the greatest common factor 345,720,347 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 89/345, 86/720, 545/347

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 89/345, 86/720, 545/347?

Answer: LCM of Numerators as per given numbers 89/345, 86/720, 545/347 is

LCM of Numerators i.e. for 89,86,545 is 4171430

GCF of denominators i.e. for 345,720,347 is 1.

Thus, LCM of Fractions is 4171430.Finally, LCM of Fractions for 89/345, 86/720, 545/347 is 4171430.