Least Common Multiple of 387/440, 2501/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/440, 2501/496 quickly i.e. 967887/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/440, 2501/496 is 967887/8.

LCM(387/440, 2501/496) = 967887/8

LCM of 387/440, 2501/496

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 387/440,2501/496

Given numbers are 387/440,2501/496

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 387,2501

Least Common Multiple of Numerators i.e. LCM of 387,2501 is 967887.

GCF of Denominators means GCF of 440,496 as per the given fractions.

GCF of 440,496 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,2501

LCM of Fractions 387/440,2501/496 is 967887/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 967887

Least Common Multiple of 387,2501 with GCF Formula

Least Common Multiple of 387,2501 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 387,2501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,2501) = 1

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

GCF(387,2501) x common factors =1 x 1 = 1

LCM(387,2501) = ( 387 × 2501 ) / 1

LCM(387,2501) = 967887 / 1

LCM(387,2501) = 967887


Lets's calculate GCF of 440,496

2 440, 496
2 220, 248
2 110, 124
55, 62

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967887/8

Therefore the LCM of Fractions 387/440,2501/496 is 967887/8

Greatest Common Factor of 440,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,496 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 440,496 . The biggest common factor number is the GCF number.
So the greatest common factor 440,496 is 8.


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 387/440, 2501/496

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 387/440, 2501/496?

Answer: LCM of Numerators as per given numbers 387/440, 2501/496 is

LCM of Numerators i.e. for 387,2501 is 967887

GCF of denominators i.e. for 440,496 is 8.

Thus, LCM of Fractions is 967887/8.Finally, LCM of Fractions for 387/440, 2501/496 is 967887/8.