Least Common Multiple of 48/68, 37/65, 253/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/68, 37/65, 253/819 quickly i.e. 449328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/68, 37/65, 253/819 is 449328.

LCM(48/68, 37/65, 253/819) = 449328

LCM of 48/68, 37/65, 253/819

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 48/68,37/65,253/819

Given numbers are 48/68,37/65,253/819

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 48,37,253

Least Common Multiple of Numerators i.e. LCM of 48,37,253 is 449328.

GCF of Denominators means GCF of 68,65,819 as per the given fractions.

GCF of 68,65,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,37,253

LCM of Fractions 48/68,37/65,253/819 is 449328

Given numbers has no common factors except 1. So, there LCM is their product i.e 449328

Least Common Multiple of 48,37,253 with GCF Formula

Least Common Multiple of 48,37,253 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 48,37,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,37,253) = 1

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

GCF(48,37,253) x common factors =1 x 1 = 1

LCM(48,37,253) = ( 48 × 37 × 253 ) / 1

LCM(48,37,253) = 449328 / 1

LCM(48,37,253) = 449328


Lets's calculate GCF of 68,65,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449328/1

Therefore the LCM of Fractions 48/68,37/65,253/819 is 449328

Greatest Common Factor of 68,65,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,65,819 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 68,65,819 . The biggest common factor number is the GCF number.
So the greatest common factor 68,65,819 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 48/68, 37/65, 253/819

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 48/68, 37/65, 253/819?

Answer: LCM of Numerators as per given numbers 48/68, 37/65, 253/819 is

LCM of Numerators i.e. for 48,37,253 is 449328

GCF of denominators i.e. for 68,65,819 is 1.

Thus, LCM of Fractions is 449328.Finally, LCM of Fractions for 48/68, 37/65, 253/819 is 449328.