Least Common Multiple of 691/64, 128/43, 292/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/64, 128/43, 292/588 quickly i.e. 6456704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/64, 128/43, 292/588 is 6456704.

LCM(691/64, 128/43, 292/588) = 6456704

LCM of 691/64, 128/43, 292/588

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 691/64,128/43,292/588

Given numbers are 691/64,128/43,292/588

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 691,128,292

Least Common Multiple of Numerators i.e. LCM of 691,128,292 is 6456704.

GCF of Denominators means GCF of 64,43,588 as per the given fractions.

GCF of 64,43,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,128,292

LCM of Fractions 691/64,128/43,292/588 is 6456704

2 691, 128, 292
2 691, 64, 146
691, 32, 73

∴ So the LCM of the given numbers is 2 x 2 x 691 x 32 x 73 = 6456704

Least Common Multiple of 691,128,292 with GCF Formula

Least Common Multiple of 691,128,292 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 691,128,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,128,292) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(691,128,292) x common factors =1 x 4 = 4

LCM(691,128,292) = ( 691 × 128 × 292 ) / 4

LCM(691,128,292) = 25826816 / 4

LCM(691,128,292) = 6456704


Lets's calculate GCF of 64,43,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6456704/1

Therefore the LCM of Fractions 691/64,128/43,292/588 is 6456704

Greatest Common Factor of 64,43,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,43,588 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 64,43,588 . The biggest common factor number is the GCF number.
So the greatest common factor 64,43,588 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 691/64, 128/43, 292/588

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 691/64, 128/43, 292/588?

Answer: LCM of Numerators as per given numbers 691/64, 128/43, 292/588 is

LCM of Numerators i.e. for 691,128,292 is 6456704

GCF of denominators i.e. for 64,43,588 is 1.

Thus, LCM of Fractions is 6456704.Finally, LCM of Fractions for 691/64, 128/43, 292/588 is 6456704.