Least Common Multiple of 37/96, 104/78, 997/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/96, 104/78, 997/805 quickly i.e. 3836456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/96, 104/78, 997/805 is 3836456.

LCM(37/96, 104/78, 997/805) = 3836456

LCM of 37/96, 104/78, 997/805

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 37/96,104/78,997/805

Given numbers are 37/96,104/78,997/805

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 37,104,997

Least Common Multiple of Numerators i.e. LCM of 37,104,997 is 3836456.

GCF of Denominators means GCF of 96,78,805 as per the given fractions.

GCF of 96,78,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,104,997

LCM of Fractions 37/96,104/78,997/805 is 3836456

Given numbers has no common factors except 1. So, there LCM is their product i.e 3836456

Least Common Multiple of 37,104,997 with GCF Formula

Least Common Multiple of 37,104,997 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 37,104,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,104,997) = 1

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

GCF(37,104,997) x common factors =1 x 1 = 1

LCM(37,104,997) = ( 37 × 104 × 997 ) / 1

LCM(37,104,997) = 3836456 / 1

LCM(37,104,997) = 3836456


Lets's calculate GCF of 96,78,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3836456/1

Therefore the LCM of Fractions 37/96,104/78,997/805 is 3836456

Greatest Common Factor of 96,78,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,78,805 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 96,78,805 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,805 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 37/96, 104/78, 997/805

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 37/96, 104/78, 997/805?

Answer: LCM of Numerators as per given numbers 37/96, 104/78, 997/805 is

LCM of Numerators i.e. for 37,104,997 is 3836456

GCF of denominators i.e. for 96,78,805 is 1.

Thus, LCM of Fractions is 3836456.Finally, LCM of Fractions for 37/96, 104/78, 997/805 is 3836456.