Least Common Multiple of 309/50, 299/20, 444/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/50, 299/20, 444/670 quickly i.e. 13673868/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/50, 299/20, 444/670 is 13673868/10.

LCM(309/50, 299/20, 444/670) = 13673868/10

LCM of 309/50, 299/20, 444/670

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 309/50,299/20,444/670

Given numbers are 309/50,299/20,444/670

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 309,299,444

Least Common Multiple of Numerators i.e. LCM of 309,299,444 is 13673868.

GCF of Denominators means GCF of 50,20,670 as per the given fractions.

GCF of 50,20,670 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,299,444

LCM of Fractions 309/50,299/20,444/670 is 13673868/10

3 309, 299, 444
103, 299, 148

∴ So the LCM of the given numbers is 3 x 103 x 299 x 148 = 13673868

Least Common Multiple of 309,299,444 with GCF Formula

Least Common Multiple of 309,299,444 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 309,299,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,299,444) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(309,299,444) x common factors =1 x 3 = 3

LCM(309,299,444) = ( 309 × 299 × 444 ) / 3

LCM(309,299,444) = 41021604 / 3

LCM(309,299,444) = 13673868


Lets's calculate GCF of 50,20,670

2 50, 20, 670
5 25, 10, 335
5, 2, 67

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13673868/10

Therefore the LCM of Fractions 309/50,299/20,444/670 is 13673868/10

Greatest Common Factor of 50,20,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,20,670 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 50,20,670 . The biggest common factor number is the GCF number.
So the greatest common factor 50,20,670 is 10.


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 309/50, 299/20, 444/670

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 309/50, 299/20, 444/670?

Answer: LCM of Numerators as per given numbers 309/50, 299/20, 444/670 is

LCM of Numerators i.e. for 309,299,444 is 13673868

GCF of denominators i.e. for 50,20,670 is 10.

Thus, LCM of Fractions is 13673868/10.Finally, LCM of Fractions for 309/50, 299/20, 444/670 is 13673868/10.