Least Common Multiple of 253/11, 675/4037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/11, 675/4037 quickly i.e. 15525 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, 675/4037 is 15525.

LCM(253/11, 675/4037) = 15525

LCM of 253/11, 675/4037

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 253/11,675/4037

Given numbers are 253/11,675/4037

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 253,675

Least Common Multiple of Numerators i.e. LCM of 253,675 is 170775.

GCF of Denominators means GCF of 11,4037 as per the given fractions.

GCF of 11,4037 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,675

LCM of Fractions 253/11,675/4037 is 15525

Given numbers has no common factors except 1. So, there LCM is their product i.e 170775

Least Common Multiple of 253,675 with GCF Formula

Least Common Multiple of 253,675 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 253,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,675) = 1

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

GCF(253,675) x common factors =1 x 1 = 1

LCM(253,675) = ( 253 × 675 ) / 1

LCM(253,675) = 170775 / 1

LCM(253,675) = 170775


Lets's calculate GCF of 11,4037

11 11, 4037
1, 367

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170775/11

Therefore the LCM of Fractions 253/11,675/4037 is 15525

Greatest Common Factor of 11,4037 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,4037 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 4037

List of positive integer factors of 4037 that divides 4037 without a remainder.

1,11,367,4037

Greatest Common Factor

We found the factors 11,4037 . The biggest common factor number is the GCF number.
So the greatest common factor 11,4037 is 11.


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, 675/4037

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, 675/4037?

Answer: LCM of Numerators as per given numbers 253/11, 675/4037 is

LCM of Numerators i.e. for 253,675 is 170775

GCF of denominators i.e. for 11,4037 is 11.

Thus, LCM of Fractions is 15525.Finally, LCM of Fractions for 253/11, 675/4037 is 15525.