Least Common Multiple of 69/86, 813/10, 525/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/86, 813/10, 525/549 quickly i.e. 3272325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/86, 813/10, 525/549 is 3272325.

LCM(69/86, 813/10, 525/549) = 3272325

LCM of 69/86, 813/10, 525/549

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 69/86,813/10,525/549

Given numbers are 69/86,813/10,525/549

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 69,813,525

Least Common Multiple of Numerators i.e. LCM of 69,813,525 is 3272325.

GCF of Denominators means GCF of 86,10,549 as per the given fractions.

GCF of 86,10,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,813,525

LCM of Fractions 69/86,813/10,525/549 is 3272325

3 69, 813, 525
23, 271, 175

∴ So the LCM of the given numbers is 3 x 23 x 271 x 175 = 3272325

Least Common Multiple of 69,813,525 with GCF Formula

Least Common Multiple of 69,813,525 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 69,813,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,813,525) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,813,525) x common factors =3 x 3 = 9

LCM(69,813,525) = ( 69 × 813 × 525 ) / 9

LCM(69,813,525) = 29450925 / 9

LCM(69,813,525) = 3272325


Lets's calculate GCF of 86,10,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3272325/1

Therefore the LCM of Fractions 69/86,813/10,525/549 is 3272325

Greatest Common Factor of 86,10,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,10,549 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 86,10,549 . The biggest common factor number is the GCF number.
So the greatest common factor 86,10,549 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 69/86, 813/10, 525/549

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 69/86, 813/10, 525/549?

Answer: LCM of Numerators as per given numbers 69/86, 813/10, 525/549 is

LCM of Numerators i.e. for 69,813,525 is 3272325

GCF of denominators i.e. for 86,10,549 is 1.

Thus, LCM of Fractions is 3272325.Finally, LCM of Fractions for 69/86, 813/10, 525/549 is 3272325.