Least Common Multiple of 304/60, 390/77, 459/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/60, 390/77, 459/845 quickly i.e. 9069840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/60, 390/77, 459/845 is 9069840.

LCM(304/60, 390/77, 459/845) = 9069840

LCM of 304/60, 390/77, 459/845

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 304/60,390/77,459/845

Given numbers are 304/60,390/77,459/845

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 304,390,459

Least Common Multiple of Numerators i.e. LCM of 304,390,459 is 9069840.

GCF of Denominators means GCF of 60,77,845 as per the given fractions.

GCF of 60,77,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,390,459

LCM of Fractions 304/60,390/77,459/845 is 9069840

2 304, 390, 459
3 152, 195, 459
152, 65, 153

∴ So the LCM of the given numbers is 2 x 3 x 152 x 65 x 153 = 9069840

Least Common Multiple of 304,390,459 with GCF Formula

Least Common Multiple of 304,390,459 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 304,390,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,390,459) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(304,390,459) x common factors =1 x 6 = 6

LCM(304,390,459) = ( 304 × 390 × 459 ) / 6

LCM(304,390,459) = 54419040 / 6

LCM(304,390,459) = 9069840


Lets's calculate GCF of 60,77,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9069840/1

Therefore the LCM of Fractions 304/60,390/77,459/845 is 9069840

Greatest Common Factor of 60,77,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,77,845 By Matching Biggest Common Factor Method

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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 60,77,845 . The biggest common factor number is the GCF number.
So the greatest common factor 60,77,845 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 304/60, 390/77, 459/845

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 304/60, 390/77, 459/845?

Answer: LCM of Numerators as per given numbers 304/60, 390/77, 459/845 is

LCM of Numerators i.e. for 304,390,459 is 9069840

GCF of denominators i.e. for 60,77,845 is 1.

Thus, LCM of Fractions is 9069840.Finally, LCM of Fractions for 304/60, 390/77, 459/845 is 9069840.