Least Common Multiple of 62/854, 96/675, 415/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/854, 96/675, 415/563 quickly i.e. 1235040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/854, 96/675, 415/563 is 1235040.

LCM(62/854, 96/675, 415/563) = 1235040

LCM of 62/854, 96/675, 415/563

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 62/854,96/675,415/563

Given numbers are 62/854,96/675,415/563

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 62,96,415

Least Common Multiple of Numerators i.e. LCM of 62,96,415 is 1235040.

GCF of Denominators means GCF of 854,675,563 as per the given fractions.

GCF of 854,675,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,96,415

LCM of Fractions 62/854,96/675,415/563 is 1235040

2 62, 96, 415
31, 48, 415

∴ So the LCM of the given numbers is 2 x 31 x 48 x 415 = 1235040

Least Common Multiple of 62,96,415 with GCF Formula

Least Common Multiple of 62,96,415 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 62,96,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,96,415) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,96,415) x common factors =1 x 2 = 2

LCM(62,96,415) = ( 62 × 96 × 415 ) / 2

LCM(62,96,415) = 2470080 / 2

LCM(62,96,415) = 1235040


Lets's calculate GCF of 854,675,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235040/1

Therefore the LCM of Fractions 62/854,96/675,415/563 is 1235040

Greatest Common Factor of 854,675,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,675,563 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 854,675,563 . The biggest common factor number is the GCF number.
So the greatest common factor 854,675,563 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 62/854, 96/675, 415/563

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 62/854, 96/675, 415/563?

Answer: LCM of Numerators as per given numbers 62/854, 96/675, 415/563 is

LCM of Numerators i.e. for 62,96,415 is 1235040

GCF of denominators i.e. for 854,675,563 is 1.

Thus, LCM of Fractions is 1235040.Finally, LCM of Fractions for 62/854, 96/675, 415/563 is 1235040.