Least Common Multiple of 480/945, 859/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/945, 859/447 quickly i.e. 137440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/945, 859/447 is 137440.

LCM(480/945, 859/447) = 137440

LCM of 480/945, 859/447

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 480/945,859/447

Given numbers are 480/945,859/447

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 480,859

Least Common Multiple of Numerators i.e. LCM of 480,859 is 412320.

GCF of Denominators means GCF of 945,447 as per the given fractions.

GCF of 945,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,859

LCM of Fractions 480/945,859/447 is 137440

Given numbers has no common factors except 1. So, there LCM is their product i.e 412320

Least Common Multiple of 480,859 with GCF Formula

Least Common Multiple of 480,859 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 480,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,859) = 1

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

GCF(480,859) x common factors =1 x 1 = 1

LCM(480,859) = ( 480 × 859 ) / 1

LCM(480,859) = 412320 / 1

LCM(480,859) = 412320


Lets's calculate GCF of 945,447

3 945, 447
315, 149

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412320/3

Therefore the LCM of Fractions 480/945,859/447 is 137440

Greatest Common Factor of 945,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,447 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 945,447 . The biggest common factor number is the GCF number.
So the greatest common factor 945,447 is 3.


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 480/945, 859/447

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 480/945, 859/447?

Answer: LCM of Numerators as per given numbers 480/945, 859/447 is

LCM of Numerators i.e. for 480,859 is 412320

GCF of denominators i.e. for 945,447 is 3.

Thus, LCM of Fractions is 137440.Finally, LCM of Fractions for 480/945, 859/447 is 137440.