Least Common Multiple of 41/438, 69/427, 740/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/438, 69/427, 740/864 quickly i.e. 2093460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/438, 69/427, 740/864 is 2093460.

LCM(41/438, 69/427, 740/864) = 2093460

LCM of 41/438, 69/427, 740/864

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 41/438,69/427,740/864

Given numbers are 41/438,69/427,740/864

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 41,69,740

Least Common Multiple of Numerators i.e. LCM of 41,69,740 is 2093460.

GCF of Denominators means GCF of 438,427,864 as per the given fractions.

GCF of 438,427,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,69,740

LCM of Fractions 41/438,69/427,740/864 is 2093460

Given numbers has no common factors except 1. So, there LCM is their product i.e 2093460

Least Common Multiple of 41,69,740 with GCF Formula

Least Common Multiple of 41,69,740 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 41,69,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,69,740) = 1

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

GCF(41,69,740) x common factors =1 x 1 = 1

LCM(41,69,740) = ( 41 × 69 × 740 ) / 1

LCM(41,69,740) = 2093460 / 1

LCM(41,69,740) = 2093460


Lets's calculate GCF of 438,427,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2093460/1

Therefore the LCM of Fractions 41/438,69/427,740/864 is 2093460

Greatest Common Factor of 438,427,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,427,864 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 438,427,864 . The biggest common factor number is the GCF number.
So the greatest common factor 438,427,864 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 41/438, 69/427, 740/864

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 41/438, 69/427, 740/864?

Answer: LCM of Numerators as per given numbers 41/438, 69/427, 740/864 is

LCM of Numerators i.e. for 41,69,740 is 2093460

GCF of denominators i.e. for 438,427,864 is 1.

Thus, LCM of Fractions is 2093460.Finally, LCM of Fractions for 41/438, 69/427, 740/864 is 2093460.