Least Common Multiple of 685/91, 643/21, 614/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/91, 643/21, 614/97 quickly i.e. 270439370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/91, 643/21, 614/97 is 270439370.

LCM(685/91, 643/21, 614/97) = 270439370

LCM of 685/91, 643/21, 614/97

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 685/91,643/21,614/97

Given numbers are 685/91,643/21,614/97

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 685,643,614

Least Common Multiple of Numerators i.e. LCM of 685,643,614 is 270439370.

GCF of Denominators means GCF of 91,21,97 as per the given fractions.

GCF of 91,21,97 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,643,614

LCM of Fractions 685/91,643/21,614/97 is 270439370

Given numbers has no common factors except 1. So, there LCM is their product i.e 270439370

Least Common Multiple of 685,643,614 with GCF Formula

Least Common Multiple of 685,643,614 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 685,643,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,643,614) = 1

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

GCF(685,643,614) x common factors =1 x 1 = 1

LCM(685,643,614) = ( 685 × 643 × 614 ) / 1

LCM(685,643,614) = 270439370 / 1

LCM(685,643,614) = 270439370


Lets's calculate GCF of 91,21,97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270439370/1

Therefore the LCM of Fractions 685/91,643/21,614/97 is 270439370

Greatest Common Factor of 91,21,97 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,21,97 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors 91,21,97 . The biggest common factor number is the GCF number.
So the greatest common factor 91,21,97 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 685/91, 643/21, 614/97

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 685/91, 643/21, 614/97?

Answer: LCM of Numerators as per given numbers 685/91, 643/21, 614/97 is

LCM of Numerators i.e. for 685,643,614 is 270439370

GCF of denominators i.e. for 91,21,97 is 1.

Thus, LCM of Fractions is 270439370.Finally, LCM of Fractions for 685/91, 643/21, 614/97 is 270439370.