Least Common Multiple of 830/688, 806/631, 625/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/688, 806/631, 625/697 quickly i.e. 41811250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/688, 806/631, 625/697 is 41811250.

LCM(830/688, 806/631, 625/697) = 41811250

LCM of 830/688, 806/631, 625/697

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 830/688,806/631,625/697

Given numbers are 830/688,806/631,625/697

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 830,806,625

Least Common Multiple of Numerators i.e. LCM of 830,806,625 is 41811250.

GCF of Denominators means GCF of 688,631,697 as per the given fractions.

GCF of 688,631,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,806,625

LCM of Fractions 830/688,806/631,625/697 is 41811250

2 830, 806, 625
5 415, 403, 625
83, 403, 125

∴ So the LCM of the given numbers is 2 x 5 x 83 x 403 x 125 = 41811250

Least Common Multiple of 830,806,625 with GCF Formula

Least Common Multiple of 830,806,625 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 830,806,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,806,625) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(830,806,625) x common factors =1 x 10 = 10

LCM(830,806,625) = ( 830 × 806 × 625 ) / 10

LCM(830,806,625) = 418112500 / 10

LCM(830,806,625) = 41811250


Lets's calculate GCF of 688,631,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41811250/1

Therefore the LCM of Fractions 830/688,806/631,625/697 is 41811250

Greatest Common Factor of 688,631,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,631,697 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 688,631,697 . The biggest common factor number is the GCF number.
So the greatest common factor 688,631,697 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 830/688, 806/631, 625/697

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 830/688, 806/631, 625/697?

Answer: LCM of Numerators as per given numbers 830/688, 806/631, 625/697 is

LCM of Numerators i.e. for 830,806,625 is 41811250

GCF of denominators i.e. for 688,631,697 is 1.

Thus, LCM of Fractions is 41811250.Finally, LCM of Fractions for 830/688, 806/631, 625/697 is 41811250.