Least Common Multiple of 697/69, 363/87, 605/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 697/69, 363/87, 605/317 quickly i.e. 1265055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 697/69, 363/87, 605/317 is 1265055.

LCM(697/69, 363/87, 605/317) = 1265055

LCM of 697/69, 363/87, 605/317

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 697/69,363/87,605/317

Given numbers are 697/69,363/87,605/317

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 697,363,605

Least Common Multiple of Numerators i.e. LCM of 697,363,605 is 1265055.

GCF of Denominators means GCF of 69,87,317 as per the given fractions.

GCF of 69,87,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 697,363,605

LCM of Fractions 697/69,363/87,605/317 is 1265055

11 697, 363, 605
11 697, 33, 55
697, 3, 5

∴ So the LCM of the given numbers is 11 x 11 x 697 x 3 x 5 = 1265055

Least Common Multiple of 697,363,605 with GCF Formula

Least Common Multiple of 697,363,605 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 697,363,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,363,605) = 1

common factors(in case of two or more numbers have common factors) = 121

GCF(697,363,605) x common factors =1 x 121 = 121

LCM(697,363,605) = ( 697 × 363 × 605 ) / 121

LCM(697,363,605) = 153071655 / 121

LCM(697,363,605) = 1265055


Lets's calculate GCF of 69,87,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1265055/1

Therefore the LCM of Fractions 697/69,363/87,605/317 is 1265055

Greatest Common Factor of 69,87,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,87,317 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 69,87,317 . The biggest common factor number is the GCF number.
So the greatest common factor 69,87,317 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 697/69, 363/87, 605/317

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 697/69, 363/87, 605/317?

Answer: LCM of Numerators as per given numbers 697/69, 363/87, 605/317 is

LCM of Numerators i.e. for 697,363,605 is 1265055

GCF of denominators i.e. for 69,87,317 is 1.

Thus, LCM of Fractions is 1265055.Finally, LCM of Fractions for 697/69, 363/87, 605/317 is 1265055.