Least Common Multiple of 588/51, 277/35, 408/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/51, 277/35, 408/471 quickly i.e. 5537784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/51, 277/35, 408/471 is 5537784.

LCM(588/51, 277/35, 408/471) = 5537784

LCM of 588/51, 277/35, 408/471

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 588/51,277/35,408/471

Given numbers are 588/51,277/35,408/471

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 588,277,408

Least Common Multiple of Numerators i.e. LCM of 588,277,408 is 5537784.

GCF of Denominators means GCF of 51,35,471 as per the given fractions.

GCF of 51,35,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,277,408

LCM of Fractions 588/51,277/35,408/471 is 5537784

2 588, 277, 408
2 294, 277, 204
3 147, 277, 102
49, 277, 34

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 277 x 34 = 5537784

Least Common Multiple of 588,277,408 with GCF Formula

Least Common Multiple of 588,277,408 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 588,277,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,277,408) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(588,277,408) x common factors =1 x 12 = 12

LCM(588,277,408) = ( 588 × 277 × 408 ) / 12

LCM(588,277,408) = 66453408 / 12

LCM(588,277,408) = 5537784


Lets's calculate GCF of 51,35,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5537784/1

Therefore the LCM of Fractions 588/51,277/35,408/471 is 5537784

Greatest Common Factor of 51,35,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,35,471 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 35

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

1,5,7,35

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 51,35,471 . The biggest common factor number is the GCF number.
So the greatest common factor 51,35,471 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 588/51, 277/35, 408/471

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 588/51, 277/35, 408/471?

Answer: LCM of Numerators as per given numbers 588/51, 277/35, 408/471 is

LCM of Numerators i.e. for 588,277,408 is 5537784

GCF of denominators i.e. for 51,35,471 is 1.

Thus, LCM of Fractions is 5537784.Finally, LCM of Fractions for 588/51, 277/35, 408/471 is 5537784.