Least Common Multiple of 43/85, 395/60, 509/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/85, 395/60, 509/645 quickly i.e. 1729073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/85, 395/60, 509/645 is 1729073.

LCM(43/85, 395/60, 509/645) = 1729073

LCM of 43/85, 395/60, 509/645

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 43/85,395/60,509/645

Given numbers are 43/85,395/60,509/645

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 43,395,509

Least Common Multiple of Numerators i.e. LCM of 43,395,509 is 8645365.

GCF of Denominators means GCF of 85,60,645 as per the given fractions.

GCF of 85,60,645 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,395,509

LCM of Fractions 43/85,395/60,509/645 is 1729073

Given numbers has no common factors except 1. So, there LCM is their product i.e 8645365

Least Common Multiple of 43,395,509 with GCF Formula

Least Common Multiple of 43,395,509 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 43,395,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,395,509) = 1

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

GCF(43,395,509) x common factors =1 x 1 = 1

LCM(43,395,509) = ( 43 × 395 × 509 ) / 1

LCM(43,395,509) = 8645365 / 1

LCM(43,395,509) = 8645365


Lets's calculate GCF of 85,60,645

5 85, 60, 645
17, 12, 129

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8645365/5

Therefore the LCM of Fractions 43/85,395/60,509/645 is 1729073

Greatest Common Factor of 85,60,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,60,645 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 85,60,645 . The biggest common factor number is the GCF number.
So the greatest common factor 85,60,645 is 5.


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 43/85, 395/60, 509/645

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 43/85, 395/60, 509/645?

Answer: LCM of Numerators as per given numbers 43/85, 395/60, 509/645 is

LCM of Numerators i.e. for 43,395,509 is 8645365

GCF of denominators i.e. for 85,60,645 is 5.

Thus, LCM of Fractions is 1729073.Finally, LCM of Fractions for 43/85, 395/60, 509/645 is 1729073.