Least Common Multiple of 789/197, 231/765, 686/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/197, 231/765, 686/355 quickly i.e. 5953794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/197, 231/765, 686/355 is 5953794.

LCM(789/197, 231/765, 686/355) = 5953794

LCM of 789/197, 231/765, 686/355

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 789/197,231/765,686/355

Given numbers are 789/197,231/765,686/355

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 789,231,686

Least Common Multiple of Numerators i.e. LCM of 789,231,686 is 5953794.

GCF of Denominators means GCF of 197,765,355 as per the given fractions.

GCF of 197,765,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,231,686

LCM of Fractions 789/197,231/765,686/355 is 5953794

3 789, 231, 686
7 263, 77, 686
263, 11, 98

∴ So the LCM of the given numbers is 3 x 7 x 263 x 11 x 98 = 5953794

Least Common Multiple of 789,231,686 with GCF Formula

Least Common Multiple of 789,231,686 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 789,231,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,231,686) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(789,231,686) x common factors =1 x 21 = 21

LCM(789,231,686) = ( 789 × 231 × 686 ) / 21

LCM(789,231,686) = 125029674 / 21

LCM(789,231,686) = 5953794


Lets's calculate GCF of 197,765,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5953794/1

Therefore the LCM of Fractions 789/197,231/765,686/355 is 5953794

Greatest Common Factor of 197,765,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,765,355 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 197,765,355 . The biggest common factor number is the GCF number.
So the greatest common factor 197,765,355 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 789/197, 231/765, 686/355

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 789/197, 231/765, 686/355?

Answer: LCM of Numerators as per given numbers 789/197, 231/765, 686/355 is

LCM of Numerators i.e. for 789,231,686 is 5953794

GCF of denominators i.e. for 197,765,355 is 1.

Thus, LCM of Fractions is 5953794.Finally, LCM of Fractions for 789/197, 231/765, 686/355 is 5953794.