Least Common Multiple of 522/89, 861/3614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/89, 861/3614 quickly i.e. 149814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/89, 861/3614 is 149814.

LCM(522/89, 861/3614) = 149814

LCM of 522/89, 861/3614

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 522/89,861/3614

Given numbers are 522/89,861/3614

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 522,861

Least Common Multiple of Numerators i.e. LCM of 522,861 is 149814.

GCF of Denominators means GCF of 89,3614 as per the given fractions.

GCF of 89,3614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,861

LCM of Fractions 522/89,861/3614 is 149814

3 522, 861
174, 287

∴ So the LCM of the given numbers is 3 x 174 x 287 = 149814

Least Common Multiple of 522,861 with GCF Formula

Least Common Multiple of 522,861 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 522,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,861) = 3

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

GCF(522,861) x common factors =3 x 1 = 3

LCM(522,861) = ( 522 × 861 ) / 3

LCM(522,861) = 449442 / 3

LCM(522,861) = 149814


Lets's calculate GCF of 89,3614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149814/1

Therefore the LCM of Fractions 522/89,861/3614 is 149814

Greatest Common Factor of 89,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,3614 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 89,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 89,3614 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 522/89, 861/3614

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 522/89, 861/3614?

Answer: LCM of Numerators as per given numbers 522/89, 861/3614 is

LCM of Numerators i.e. for 522,861 is 149814

GCF of denominators i.e. for 89,3614 is 1.

Thus, LCM of Fractions is 149814.Finally, LCM of Fractions for 522/89, 861/3614 is 149814.