Least Common Multiple of 697/585, 8420/3935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 697/585, 8420/3935 quickly i.e. 1173748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/585, 8420/3935 is 1173748.

LCM(697/585, 8420/3935) = 1173748

LCM of 697/585, 8420/3935

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 697/585,8420/3935

Given numbers are 697/585,8420/3935

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 697,8420

Least Common Multiple of Numerators i.e. LCM of 697,8420 is 5868740.

GCF of Denominators means GCF of 585,3935 as per the given fractions.

GCF of 585,3935 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,8420

LCM of Fractions 697/585,8420/3935 is 1173748

Given numbers has no common factors except 1. So, there LCM is their product i.e 5868740

Least Common Multiple of 697,8420 with GCF Formula

Least Common Multiple of 697,8420 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 697,8420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,8420) = 1

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

GCF(697,8420) x common factors =1 x 1 = 1

LCM(697,8420) = ( 697 × 8420 ) / 1

LCM(697,8420) = 5868740 / 1

LCM(697,8420) = 5868740


Lets's calculate GCF of 585,3935

5 585, 3935
117, 787

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5868740/5

Therefore the LCM of Fractions 697/585,8420/3935 is 1173748

Greatest Common Factor of 585,3935 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,3935 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 3935

List of positive integer factors of 3935 that divides 3935 without a remainder.

1,5,787,3935

Greatest Common Factor

We found the factors 585,3935 . The biggest common factor number is the GCF number.
So the greatest common factor 585,3935 is 5.


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 697/585, 8420/3935

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 697/585, 8420/3935?

Answer: LCM of Numerators as per given numbers 697/585, 8420/3935 is

LCM of Numerators i.e. for 697,8420 is 5868740

GCF of denominators i.e. for 585,3935 is 5.

Thus, LCM of Fractions is 1173748.Finally, LCM of Fractions for 697/585, 8420/3935 is 1173748.