Least Common Multiple of 911/42, 255/3201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 911/42, 255/3201 quickly i.e. 77435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 911/42, 255/3201 is 77435.

LCM(911/42, 255/3201) = 77435

LCM of 911/42, 255/3201

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 911/42,255/3201

Given numbers are 911/42,255/3201

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 911,255

Least Common Multiple of Numerators i.e. LCM of 911,255 is 232305.

GCF of Denominators means GCF of 42,3201 as per the given fractions.

GCF of 42,3201 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 911,255

LCM of Fractions 911/42,255/3201 is 77435

Given numbers has no common factors except 1. So, there LCM is their product i.e 232305

Least Common Multiple of 911,255 with GCF Formula

Least Common Multiple of 911,255 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 911,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,255) = 1

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

GCF(911,255) x common factors =1 x 1 = 1

LCM(911,255) = ( 911 × 255 ) / 1

LCM(911,255) = 232305 / 1

LCM(911,255) = 232305


Lets's calculate GCF of 42,3201

3 42, 3201
14, 1067

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232305/3

Therefore the LCM of Fractions 911/42,255/3201 is 77435

Greatest Common Factor of 42,3201 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3201 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1,3,11,33,97,291,1067,3201

Greatest Common Factor

We found the factors 42,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3201 is 3.


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 911/42, 255/3201

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 911/42, 255/3201?

Answer: LCM of Numerators as per given numbers 911/42, 255/3201 is

LCM of Numerators i.e. for 911,255 is 232305

GCF of denominators i.e. for 42,3201 is 3.

Thus, LCM of Fractions is 77435.Finally, LCM of Fractions for 911/42, 255/3201 is 77435.