Least Common Multiple of 445/502, 384/867, 708/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 445/502, 384/867, 708/415 quickly i.e. 10081920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 445/502, 384/867, 708/415 is 10081920.

LCM(445/502, 384/867, 708/415) = 10081920

LCM of 445/502, 384/867, 708/415

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 445/502,384/867,708/415

Given numbers are 445/502,384/867,708/415

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 445,384,708

Least Common Multiple of Numerators i.e. LCM of 445,384,708 is 10081920.

GCF of Denominators means GCF of 502,867,415 as per the given fractions.

GCF of 502,867,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 445,384,708

LCM of Fractions 445/502,384/867,708/415 is 10081920

2 445, 384, 708
2 445, 192, 354
3 445, 96, 177
445, 32, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 445 x 32 x 59 = 10081920

Least Common Multiple of 445,384,708 with GCF Formula

Least Common Multiple of 445,384,708 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 445,384,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,384,708) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(445,384,708) x common factors =1 x 12 = 12

LCM(445,384,708) = ( 445 × 384 × 708 ) / 12

LCM(445,384,708) = 120983040 / 12

LCM(445,384,708) = 10081920


Lets's calculate GCF of 502,867,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10081920/1

Therefore the LCM of Fractions 445/502,384/867,708/415 is 10081920

Greatest Common Factor of 502,867,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,867,415 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 502,867,415 . The biggest common factor number is the GCF number.
So the greatest common factor 502,867,415 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 445/502, 384/867, 708/415

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 445/502, 384/867, 708/415?

Answer: LCM of Numerators as per given numbers 445/502, 384/867, 708/415 is

LCM of Numerators i.e. for 445,384,708 is 10081920

GCF of denominators i.e. for 502,867,415 is 1.

Thus, LCM of Fractions is 10081920.Finally, LCM of Fractions for 445/502, 384/867, 708/415 is 10081920.