Least Common Multiple of 42/147, 53/451, 806/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/147, 53/451, 806/408 quickly i.e. 897078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/147, 53/451, 806/408 is 897078.

LCM(42/147, 53/451, 806/408) = 897078

LCM of 42/147, 53/451, 806/408

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 42/147,53/451,806/408

Given numbers are 42/147,53/451,806/408

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 42,53,806

Least Common Multiple of Numerators i.e. LCM of 42,53,806 is 897078.

GCF of Denominators means GCF of 147,451,408 as per the given fractions.

GCF of 147,451,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,53,806

LCM of Fractions 42/147,53/451,806/408 is 897078

2 42, 53, 806
21, 53, 403

∴ So the LCM of the given numbers is 2 x 21 x 53 x 403 = 897078

Least Common Multiple of 42,53,806 with GCF Formula

Least Common Multiple of 42,53,806 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 42,53,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,53,806) = 1

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

GCF(42,53,806) x common factors =1 x 2 = 2

LCM(42,53,806) = ( 42 × 53 × 806 ) / 2

LCM(42,53,806) = 1794156 / 2

LCM(42,53,806) = 897078


Lets's calculate GCF of 147,451,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897078/1

Therefore the LCM of Fractions 42/147,53/451,806/408 is 897078

Greatest Common Factor of 147,451,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,451,408 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 147,451,408 . The biggest common factor number is the GCF number.
So the greatest common factor 147,451,408 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 42/147, 53/451, 806/408

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 42/147, 53/451, 806/408?

Answer: LCM of Numerators as per given numbers 42/147, 53/451, 806/408 is

LCM of Numerators i.e. for 42,53,806 is 897078

GCF of denominators i.e. for 147,451,408 is 1.

Thus, LCM of Fractions is 897078.Finally, LCM of Fractions for 42/147, 53/451, 806/408 is 897078.