Least Common Multiple of 76/987, 10/900, 577/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/987, 10/900, 577/286 quickly i.e. 219260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/987, 10/900, 577/286 is 219260.

LCM(76/987, 10/900, 577/286) = 219260

LCM of 76/987, 10/900, 577/286

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 76/987,10/900,577/286

Given numbers are 76/987,10/900,577/286

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 76,10,577

Least Common Multiple of Numerators i.e. LCM of 76,10,577 is 219260.

GCF of Denominators means GCF of 987,900,286 as per the given fractions.

GCF of 987,900,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,10,577

LCM of Fractions 76/987,10/900,577/286 is 219260

2 76, 10, 577
38, 5, 577

∴ So the LCM of the given numbers is 2 x 38 x 5 x 577 = 219260

Least Common Multiple of 76,10,577 with GCF Formula

Least Common Multiple of 76,10,577 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 76,10,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,10,577) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,10,577) x common factors =1 x 2 = 2

LCM(76,10,577) = ( 76 × 10 × 577 ) / 2

LCM(76,10,577) = 438520 / 2

LCM(76,10,577) = 219260


Lets's calculate GCF of 987,900,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219260/1

Therefore the LCM of Fractions 76/987,10/900,577/286 is 219260

Greatest Common Factor of 987,900,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,900,286 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 987,900,286 . The biggest common factor number is the GCF number.
So the greatest common factor 987,900,286 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 76/987, 10/900, 577/286

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 76/987, 10/900, 577/286?

Answer: LCM of Numerators as per given numbers 76/987, 10/900, 577/286 is

LCM of Numerators i.e. for 76,10,577 is 219260

GCF of denominators i.e. for 987,900,286 is 1.

Thus, LCM of Fractions is 219260.Finally, LCM of Fractions for 76/987, 10/900, 577/286 is 219260.