Least Common Multiple of 89/626, 77/900, 538/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/626, 77/900, 538/363 quickly i.e. 3686914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/626, 77/900, 538/363 is 3686914.

LCM(89/626, 77/900, 538/363) = 3686914

LCM of 89/626, 77/900, 538/363

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 89/626,77/900,538/363

Given numbers are 89/626,77/900,538/363

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 89,77,538

Least Common Multiple of Numerators i.e. LCM of 89,77,538 is 3686914.

GCF of Denominators means GCF of 626,900,363 as per the given fractions.

GCF of 626,900,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,77,538

LCM of Fractions 89/626,77/900,538/363 is 3686914

Given numbers has no common factors except 1. So, there LCM is their product i.e 3686914

Least Common Multiple of 89,77,538 with GCF Formula

Least Common Multiple of 89,77,538 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 89,77,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,77,538) = 1

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

GCF(89,77,538) x common factors =1 x 1 = 1

LCM(89,77,538) = ( 89 × 77 × 538 ) / 1

LCM(89,77,538) = 3686914 / 1

LCM(89,77,538) = 3686914


Lets's calculate GCF of 626,900,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3686914/1

Therefore the LCM of Fractions 89/626,77/900,538/363 is 3686914

Greatest Common Factor of 626,900,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,900,363 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 626,900,363 . The biggest common factor number is the GCF number.
So the greatest common factor 626,900,363 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 89/626, 77/900, 538/363

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 89/626, 77/900, 538/363?

Answer: LCM of Numerators as per given numbers 89/626, 77/900, 538/363 is

LCM of Numerators i.e. for 89,77,538 is 3686914

GCF of denominators i.e. for 626,900,363 is 1.

Thus, LCM of Fractions is 3686914.Finally, LCM of Fractions for 89/626, 77/900, 538/363 is 3686914.