Least Common Multiple of 81/76, 989/89, 230/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/76, 989/89, 230/528 quickly i.e. 801090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/76, 989/89, 230/528 is 801090.

LCM(81/76, 989/89, 230/528) = 801090

LCM of 81/76, 989/89, 230/528

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 81/76,989/89,230/528

Given numbers are 81/76,989/89,230/528

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 81,989,230

Least Common Multiple of Numerators i.e. LCM of 81,989,230 is 801090.

GCF of Denominators means GCF of 76,89,528 as per the given fractions.

GCF of 76,89,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,989,230

LCM of Fractions 81/76,989/89,230/528 is 801090

23 81, 989, 230
81, 43, 10

∴ So the LCM of the given numbers is 23 x 81 x 43 x 10 = 801090

Least Common Multiple of 81,989,230 with GCF Formula

Least Common Multiple of 81,989,230 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 81,989,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,989,230) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(81,989,230) x common factors =1 x 23 = 23

LCM(81,989,230) = ( 81 × 989 × 230 ) / 23

LCM(81,989,230) = 18425070 / 23

LCM(81,989,230) = 801090


Lets's calculate GCF of 76,89,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 801090/1

Therefore the LCM of Fractions 81/76,989/89,230/528 is 801090

Greatest Common Factor of 76,89,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,89,528 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 89

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

1,89

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 76,89,528 . The biggest common factor number is the GCF number.
So the greatest common factor 76,89,528 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 81/76, 989/89, 230/528

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 81/76, 989/89, 230/528?

Answer: LCM of Numerators as per given numbers 81/76, 989/89, 230/528 is

LCM of Numerators i.e. for 81,989,230 is 801090

GCF of denominators i.e. for 76,89,528 is 1.

Thus, LCM of Fractions is 801090.Finally, LCM of Fractions for 81/76, 989/89, 230/528 is 801090.