Least Common Multiple of 688/70, 566/5729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/70, 566/5729 quickly i.e. 194704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/70, 566/5729 is 194704.

LCM(688/70, 566/5729) = 194704

LCM of 688/70, 566/5729

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 688/70,566/5729

Given numbers are 688/70,566/5729

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 688,566

Least Common Multiple of Numerators i.e. LCM of 688,566 is 194704.

GCF of Denominators means GCF of 70,5729 as per the given fractions.

GCF of 70,5729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,566

LCM of Fractions 688/70,566/5729 is 194704

2 688, 566
344, 283

∴ So the LCM of the given numbers is 2 x 344 x 283 = 194704

Least Common Multiple of 688,566 with GCF Formula

Least Common Multiple of 688,566 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 688,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,566) = 2

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

GCF(688,566) x common factors =2 x 1 = 2

LCM(688,566) = ( 688 × 566 ) / 2

LCM(688,566) = 389408 / 2

LCM(688,566) = 194704


Lets's calculate GCF of 70,5729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194704/1

Therefore the LCM of Fractions 688/70,566/5729 is 194704

Greatest Common Factor of 70,5729 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5729 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors 70,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5729 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 688/70, 566/5729

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 688/70, 566/5729?

Answer: LCM of Numerators as per given numbers 688/70, 566/5729 is

LCM of Numerators i.e. for 688,566 is 194704

GCF of denominators i.e. for 70,5729 is 1.

Thus, LCM of Fractions is 194704.Finally, LCM of Fractions for 688/70, 566/5729 is 194704.