Least Common Multiple of 485/315, 963/119, 942/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/315, 963/119, 942/579 quickly i.e. 146655270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/315, 963/119, 942/579 is 146655270.

LCM(485/315, 963/119, 942/579) = 146655270

LCM of 485/315, 963/119, 942/579

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 485/315,963/119,942/579

Given numbers are 485/315,963/119,942/579

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 485,963,942

Least Common Multiple of Numerators i.e. LCM of 485,963,942 is 146655270.

GCF of Denominators means GCF of 315,119,579 as per the given fractions.

GCF of 315,119,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,963,942

LCM of Fractions 485/315,963/119,942/579 is 146655270

3 485, 963, 942
485, 321, 314

∴ So the LCM of the given numbers is 3 x 485 x 321 x 314 = 146655270

Least Common Multiple of 485,963,942 with GCF Formula

Least Common Multiple of 485,963,942 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 485,963,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,963,942) = 1

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

GCF(485,963,942) x common factors =1 x 3 = 3

LCM(485,963,942) = ( 485 × 963 × 942 ) / 3

LCM(485,963,942) = 439965810 / 3

LCM(485,963,942) = 146655270


Lets's calculate GCF of 315,119,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146655270/1

Therefore the LCM of Fractions 485/315,963/119,942/579 is 146655270

Greatest Common Factor of 315,119,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,119,579 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 315,119,579 . The biggest common factor number is the GCF number.
So the greatest common factor 315,119,579 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 485/315, 963/119, 942/579

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 485/315, 963/119, 942/579?

Answer: LCM of Numerators as per given numbers 485/315, 963/119, 942/579 is

LCM of Numerators i.e. for 485,963,942 is 146655270

GCF of denominators i.e. for 315,119,579 is 1.

Thus, LCM of Fractions is 146655270.Finally, LCM of Fractions for 485/315, 963/119, 942/579 is 146655270.