Least Common Multiple of 4989/828, 8574/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4989/828, 8574/302 quickly i.e. 7129281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4989/828, 8574/302 is 7129281.

LCM(4989/828, 8574/302) = 7129281

LCM of 4989/828, 8574/302

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 4989/828,8574/302

Given numbers are 4989/828,8574/302

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 4989,8574

Least Common Multiple of Numerators i.e. LCM of 4989,8574 is 14258562.

GCF of Denominators means GCF of 828,302 as per the given fractions.

GCF of 828,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4989,8574

LCM of Fractions 4989/828,8574/302 is 7129281

3 4989, 8574
1663, 2858

∴ So the LCM of the given numbers is 3 x 1663 x 2858 = 14258562

Least Common Multiple of 4989,8574 with GCF Formula

Least Common Multiple of 4989,8574 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 4989,8574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4989,8574) = 3

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

GCF(4989,8574) x common factors =3 x 1 = 3

LCM(4989,8574) = ( 4989 × 8574 ) / 3

LCM(4989,8574) = 42775686 / 3

LCM(4989,8574) = 14258562


Lets's calculate GCF of 828,302

2 828, 302
414, 151

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14258562/2

Therefore the LCM of Fractions 4989/828,8574/302 is 7129281

Greatest Common Factor of 828,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,302 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 828,302 . The biggest common factor number is the GCF number.
So the greatest common factor 828,302 is 2.


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 4989/828, 8574/302

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 4989/828, 8574/302?

Answer: LCM of Numerators as per given numbers 4989/828, 8574/302 is

LCM of Numerators i.e. for 4989,8574 is 14258562

GCF of denominators i.e. for 828,302 is 2.

Thus, LCM of Fractions is 7129281.Finally, LCM of Fractions for 4989/828, 8574/302 is 7129281.