Least Common Multiple of 41/330, 256/380, 711/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/330, 256/380, 711/637 quickly i.e. 7462656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/330, 256/380, 711/637 is 7462656.

LCM(41/330, 256/380, 711/637) = 7462656

LCM of 41/330, 256/380, 711/637

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 41/330,256/380,711/637

Given numbers are 41/330,256/380,711/637

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 41,256,711

Least Common Multiple of Numerators i.e. LCM of 41,256,711 is 7462656.

GCF of Denominators means GCF of 330,380,637 as per the given fractions.

GCF of 330,380,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,256,711

LCM of Fractions 41/330,256/380,711/637 is 7462656

Given numbers has no common factors except 1. So, there LCM is their product i.e 7462656

Least Common Multiple of 41,256,711 with GCF Formula

Least Common Multiple of 41,256,711 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 41,256,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,256,711) = 1

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

GCF(41,256,711) x common factors =1 x 1 = 1

LCM(41,256,711) = ( 41 × 256 × 711 ) / 1

LCM(41,256,711) = 7462656 / 1

LCM(41,256,711) = 7462656


Lets's calculate GCF of 330,380,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7462656/1

Therefore the LCM of Fractions 41/330,256/380,711/637 is 7462656

Greatest Common Factor of 330,380,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,380,637 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 330,380,637 . The biggest common factor number is the GCF number.
So the greatest common factor 330,380,637 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 41/330, 256/380, 711/637

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 41/330, 256/380, 711/637?

Answer: LCM of Numerators as per given numbers 41/330, 256/380, 711/637 is

LCM of Numerators i.e. for 41,256,711 is 7462656

GCF of denominators i.e. for 330,380,637 is 1.

Thus, LCM of Fractions is 7462656.Finally, LCM of Fractions for 41/330, 256/380, 711/637 is 7462656.