Least Common Multiple of 414/41, 642/31, 556/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/41, 642/31, 556/35 quickly i.e. 12314844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/41, 642/31, 556/35 is 12314844.

LCM(414/41, 642/31, 556/35) = 12314844

LCM of 414/41, 642/31, 556/35

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 414/41,642/31,556/35

Given numbers are 414/41,642/31,556/35

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 414,642,556

Least Common Multiple of Numerators i.e. LCM of 414,642,556 is 12314844.

GCF of Denominators means GCF of 41,31,35 as per the given fractions.

GCF of 41,31,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,642,556

LCM of Fractions 414/41,642/31,556/35 is 12314844

2 414, 642, 556
3 207, 321, 278
69, 107, 278

∴ So the LCM of the given numbers is 2 x 3 x 69 x 107 x 278 = 12314844

Least Common Multiple of 414,642,556 with GCF Formula

Least Common Multiple of 414,642,556 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 414,642,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,642,556) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(414,642,556) x common factors =2 x 6 = 12

LCM(414,642,556) = ( 414 × 642 × 556 ) / 12

LCM(414,642,556) = 147778128 / 12

LCM(414,642,556) = 12314844


Lets's calculate GCF of 41,31,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12314844/1

Therefore the LCM of Fractions 414/41,642/31,556/35 is 12314844

Greatest Common Factor of 41,31,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,31,35 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 41,31,35 . The biggest common factor number is the GCF number.
So the greatest common factor 41,31,35 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 414/41, 642/31, 556/35

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 414/41, 642/31, 556/35?

Answer: LCM of Numerators as per given numbers 414/41, 642/31, 556/35 is

LCM of Numerators i.e. for 414,642,556 is 12314844

GCF of denominators i.e. for 41,31,35 is 1.

Thus, LCM of Fractions is 12314844.Finally, LCM of Fractions for 414/41, 642/31, 556/35 is 12314844.