Least Common Multiple of 755/34, 899/3872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/34, 899/3872 quickly i.e. 678745/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/34, 899/3872 is 678745/2.

LCM(755/34, 899/3872) = 678745/2

LCM of 755/34, 899/3872

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 755/34,899/3872

Given numbers are 755/34,899/3872

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 755,899

Least Common Multiple of Numerators i.e. LCM of 755,899 is 678745.

GCF of Denominators means GCF of 34,3872 as per the given fractions.

GCF of 34,3872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,899

LCM of Fractions 755/34,899/3872 is 678745/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 678745

Least Common Multiple of 755,899 with GCF Formula

Least Common Multiple of 755,899 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 755,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,899) = 1

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

GCF(755,899) x common factors =1 x 1 = 1

LCM(755,899) = ( 755 × 899 ) / 1

LCM(755,899) = 678745 / 1

LCM(755,899) = 678745


Lets's calculate GCF of 34,3872

2 34, 3872
17, 1936

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678745/2

Therefore the LCM of Fractions 755/34,899/3872 is 678745/2

Greatest Common Factor of 34,3872 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,3872 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

Greatest Common Factor

We found the factors 34,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 34,3872 is 2.


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 755/34, 899/3872

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 755/34, 899/3872?

Answer: LCM of Numerators as per given numbers 755/34, 899/3872 is

LCM of Numerators i.e. for 755,899 is 678745

GCF of denominators i.e. for 34,3872 is 2.

Thus, LCM of Fractions is 678745/2.Finally, LCM of Fractions for 755/34, 899/3872 is 678745/2.