Least Common Multiple of 253/11, 151/9408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/11, 151/9408 quickly i.e. 38203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/11, 151/9408 is 38203.

LCM(253/11, 151/9408) = 38203

LCM of 253/11, 151/9408

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 253/11,151/9408

Given numbers are 253/11,151/9408

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 253,151

Least Common Multiple of Numerators i.e. LCM of 253,151 is 38203.

GCF of Denominators means GCF of 11,9408 as per the given fractions.

GCF of 11,9408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,151

LCM of Fractions 253/11,151/9408 is 38203

Given numbers has no common factors except 1. So, there LCM is their product i.e 38203

Least Common Multiple of 253,151 with GCF Formula

Least Common Multiple of 253,151 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 253,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,151) = 1

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

GCF(253,151) x common factors =1 x 1 = 1

LCM(253,151) = ( 253 × 151 ) / 1

LCM(253,151) = 38203 / 1

LCM(253,151) = 38203


Lets's calculate GCF of 11,9408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38203/1

Therefore the LCM of Fractions 253/11,151/9408 is 38203

Greatest Common Factor of 11,9408 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,9408 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Greatest Common Factor

We found the factors 11,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 11,9408 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 253/11, 151/9408

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 253/11, 151/9408?

Answer: LCM of Numerators as per given numbers 253/11, 151/9408 is

LCM of Numerators i.e. for 253,151 is 38203

GCF of denominators i.e. for 11,9408 is 1.

Thus, LCM of Fractions is 38203.Finally, LCM of Fractions for 253/11, 151/9408 is 38203.