Least Common Multiple of 19/90, 14/67, 85/73, 44/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/90, 14/67, 85/73, 44/509 quickly i.e. 497420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/90, 14/67, 85/73, 44/509 is 497420.

LCM(19/90, 14/67, 85/73, 44/509) = 497420

LCM of 19/90, 14/67, 85/73, 44/509

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 19/90,14/67,85/73,44/509

Given numbers are 19/90,14/67,85/73,44/509

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 19,14,85,44

Least Common Multiple of Numerators i.e. LCM of 19,14,85,44 is 497420.

GCF of Denominators means GCF of 90,67,73,509 as per the given fractions.

GCF of 90,67,73,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,14,85,44

LCM of Fractions 19/90,14/67,85/73,44/509 is 497420

2 19, 14, 85, 44
19, 7, 85, 22

∴ So the LCM of the given numbers is 2 x 19 x 7 x 85 x 22 = 497420

Least Common Multiple of 19,14,85,44 with GCF Formula

Least Common Multiple of 19,14,85,44 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 19,14,85,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,14,85,44) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,14,85,44) x common factors =1 x 2 = 2

LCM(19,14,85,44) = ( 19 × 14 × 85 × 44 ) / 2

LCM(19,14,85,44) = 994840 / 2

LCM(19,14,85,44) = 497420


Lets's calculate GCF of 90,67,73,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497420/1

Therefore the LCM of Fractions 19/90,14/67,85/73,44/509 is 497420

Greatest Common Factor of 90,67,73,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,67,73,509 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 509

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

1,509

Greatest Common Factor

We found the factors 90,67,73,509 . The biggest common factor number is the GCF number.
So the greatest common factor 90,67,73,509 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 19/90, 14/67, 85/73, 44/509

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 19/90, 14/67, 85/73, 44/509?

Answer: LCM of Numerators as per given numbers 19/90, 14/67, 85/73, 44/509 is

LCM of Numerators i.e. for 19,14,85,44 is 497420

GCF of denominators i.e. for 90,67,73,509 is 1.

Thus, LCM of Fractions is 497420.Finally, LCM of Fractions for 19/90, 14/67, 85/73, 44/509 is 497420.