Least Common Multiple of 405/248, 3597/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/248, 3597/788 quickly i.e. 485595/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/248, 3597/788 is 485595/4.

LCM(405/248, 3597/788) = 485595/4

LCM of 405/248, 3597/788

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 405/248,3597/788

Given numbers are 405/248,3597/788

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 405,3597

Least Common Multiple of Numerators i.e. LCM of 405,3597 is 485595.

GCF of Denominators means GCF of 248,788 as per the given fractions.

GCF of 248,788 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,3597

LCM of Fractions 405/248,3597/788 is 485595/4

3 405, 3597
135, 1199

∴ So the LCM of the given numbers is 3 x 135 x 1199 = 485595

Least Common Multiple of 405,3597 with GCF Formula

Least Common Multiple of 405,3597 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 405,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,3597) = 3

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

GCF(405,3597) x common factors =3 x 1 = 3

LCM(405,3597) = ( 405 × 3597 ) / 3

LCM(405,3597) = 1456785 / 3

LCM(405,3597) = 485595


Lets's calculate GCF of 248,788

2 248, 788
2 124, 394
62, 197

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485595/4

Therefore the LCM of Fractions 405/248,3597/788 is 485595/4

Greatest Common Factor of 248,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,788 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 248,788 . The biggest common factor number is the GCF number.
So the greatest common factor 248,788 is 4.


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 405/248, 3597/788

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 405/248, 3597/788?

Answer: LCM of Numerators as per given numbers 405/248, 3597/788 is

LCM of Numerators i.e. for 405,3597 is 485595

GCF of denominators i.e. for 248,788 is 4.

Thus, LCM of Fractions is 485595/4.Finally, LCM of Fractions for 405/248, 3597/788 is 485595/4.