Least Common Multiple of 42/406, 698/327, 734/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/406, 698/327, 734/972 quickly i.e. 5379486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/406, 698/327, 734/972 is 5379486.

LCM(42/406, 698/327, 734/972) = 5379486

LCM of 42/406, 698/327, 734/972

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 42/406,698/327,734/972

Given numbers are 42/406,698/327,734/972

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 42,698,734

Least Common Multiple of Numerators i.e. LCM of 42,698,734 is 5379486.

GCF of Denominators means GCF of 406,327,972 as per the given fractions.

GCF of 406,327,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,698,734

LCM of Fractions 42/406,698/327,734/972 is 5379486

2 42, 698, 734
21, 349, 367

∴ So the LCM of the given numbers is 2 x 21 x 349 x 367 = 5379486

Least Common Multiple of 42,698,734 with GCF Formula

Least Common Multiple of 42,698,734 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 42,698,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,698,734) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(42,698,734) x common factors =2 x 2 = 4

LCM(42,698,734) = ( 42 × 698 × 734 ) / 4

LCM(42,698,734) = 21517944 / 4

LCM(42,698,734) = 5379486


Lets's calculate GCF of 406,327,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5379486/1

Therefore the LCM of Fractions 42/406,698/327,734/972 is 5379486

Greatest Common Factor of 406,327,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,327,972 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 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 406,327,972 . The biggest common factor number is the GCF number.
So the greatest common factor 406,327,972 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 42/406, 698/327, 734/972

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 42/406, 698/327, 734/972?

Answer: LCM of Numerators as per given numbers 42/406, 698/327, 734/972 is

LCM of Numerators i.e. for 42,698,734 is 5379486

GCF of denominators i.e. for 406,327,972 is 1.

Thus, LCM of Fractions is 5379486.Finally, LCM of Fractions for 42/406, 698/327, 734/972 is 5379486.