Least Common Multiple of 36/697, 9819/5587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/697, 9819/5587 quickly i.e. 39276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/697, 9819/5587 is 39276.

LCM(36/697, 9819/5587) = 39276

LCM of 36/697, 9819/5587

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 36/697,9819/5587

Given numbers are 36/697,9819/5587

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 36,9819

Least Common Multiple of Numerators i.e. LCM of 36,9819 is 39276.

GCF of Denominators means GCF of 697,5587 as per the given fractions.

GCF of 697,5587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,9819

LCM of Fractions 36/697,9819/5587 is 39276

3 36, 9819
3 12, 3273
4, 1091

∴ So the LCM of the given numbers is 3 x 3 x 4 x 1091 = 39276

Least Common Multiple of 36,9819 with GCF Formula

Least Common Multiple of 36,9819 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 36,9819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,9819) = 9

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

GCF(36,9819) x common factors =9 x 1 = 9

LCM(36,9819) = ( 36 × 9819 ) / 9

LCM(36,9819) = 353484 / 9

LCM(36,9819) = 39276


Lets's calculate GCF of 697,5587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39276/1

Therefore the LCM of Fractions 36/697,9819/5587 is 39276

Greatest Common Factor of 697,5587 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,5587 By Matching Biggest Common Factor Method

Factors of 697

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

1,17,41,697

Factors of 5587

List of positive integer factors of 5587 that divides 5587 without a remainder.

1,37,151,5587

Greatest Common Factor

We found the factors 697,5587 . The biggest common factor number is the GCF number.
So the greatest common factor 697,5587 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/697, 9819/5587

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 36/697, 9819/5587?

Answer: LCM of Numerators as per given numbers 36/697, 9819/5587 is

LCM of Numerators i.e. for 36,9819 is 39276

GCF of denominators i.e. for 697,5587 is 1.

Thus, LCM of Fractions is 39276.Finally, LCM of Fractions for 36/697, 9819/5587 is 39276.