Least Common Multiple of 96/599, 37/448, 413/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/599, 37/448, 413/686 quickly i.e. 1466976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/599, 37/448, 413/686 is 1466976.

LCM(96/599, 37/448, 413/686) = 1466976

LCM of 96/599, 37/448, 413/686

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 96/599,37/448,413/686

Given numbers are 96/599,37/448,413/686

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 96,37,413

Least Common Multiple of Numerators i.e. LCM of 96,37,413 is 1466976.

GCF of Denominators means GCF of 599,448,686 as per the given fractions.

GCF of 599,448,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,37,413

LCM of Fractions 96/599,37/448,413/686 is 1466976

Given numbers has no common factors except 1. So, there LCM is their product i.e 1466976

Least Common Multiple of 96,37,413 with GCF Formula

Least Common Multiple of 96,37,413 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 96,37,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,37,413) = 1

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

GCF(96,37,413) x common factors =1 x 1 = 1

LCM(96,37,413) = ( 96 × 37 × 413 ) / 1

LCM(96,37,413) = 1466976 / 1

LCM(96,37,413) = 1466976


Lets's calculate GCF of 599,448,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1466976/1

Therefore the LCM of Fractions 96/599,37/448,413/686 is 1466976

Greatest Common Factor of 599,448,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,448,686 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 599,448,686 . The biggest common factor number is the GCF number.
So the greatest common factor 599,448,686 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 96/599, 37/448, 413/686

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 96/599, 37/448, 413/686?

Answer: LCM of Numerators as per given numbers 96/599, 37/448, 413/686 is

LCM of Numerators i.e. for 96,37,413 is 1466976

GCF of denominators i.e. for 599,448,686 is 1.

Thus, LCM of Fractions is 1466976.Finally, LCM of Fractions for 96/599, 37/448, 413/686 is 1466976.