Least Common Multiple of 106/406, 631/118, 739/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/406, 631/118, 739/426 quickly i.e. 24714377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/406, 631/118, 739/426 is 24714377.

LCM(106/406, 631/118, 739/426) = 24714377

LCM of 106/406, 631/118, 739/426

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 106/406,631/118,739/426

Given numbers are 106/406,631/118,739/426

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 106,631,739

Least Common Multiple of Numerators i.e. LCM of 106,631,739 is 49428754.

GCF of Denominators means GCF of 406,118,426 as per the given fractions.

GCF of 406,118,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,631,739

LCM of Fractions 106/406,631/118,739/426 is 24714377

Given numbers has no common factors except 1. So, there LCM is their product i.e 49428754

Least Common Multiple of 106,631,739 with GCF Formula

Least Common Multiple of 106,631,739 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 106,631,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,631,739) = 1

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

GCF(106,631,739) x common factors =1 x 1 = 1

LCM(106,631,739) = ( 106 × 631 × 739 ) / 1

LCM(106,631,739) = 49428754 / 1

LCM(106,631,739) = 49428754


Lets's calculate GCF of 406,118,426

2 406, 118, 426
203, 59, 213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49428754/2

Therefore the LCM of Fractions 106/406,631/118,739/426 is 24714377

Greatest Common Factor of 406,118,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,118,426 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 406,118,426 . The biggest common factor number is the GCF number.
So the greatest common factor 406,118,426 is 2.


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 106/406, 631/118, 739/426

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 106/406, 631/118, 739/426?

Answer: LCM of Numerators as per given numbers 106/406, 631/118, 739/426 is

LCM of Numerators i.e. for 106,631,739 is 49428754

GCF of denominators i.e. for 406,118,426 is 2.

Thus, LCM of Fractions is 24714377.Finally, LCM of Fractions for 106/406, 631/118, 739/426 is 24714377.