Least Common Multiple of 9000/98, 6584/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9000/98, 6584/386 quickly i.e. 3703500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9000/98, 6584/386 is 3703500.

LCM(9000/98, 6584/386) = 3703500

LCM of 9000/98, 6584/386

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 9000/98,6584/386

Given numbers are 9000/98,6584/386

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 9000,6584

Least Common Multiple of Numerators i.e. LCM of 9000,6584 is 7407000.

GCF of Denominators means GCF of 98,386 as per the given fractions.

GCF of 98,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9000,6584

LCM of Fractions 9000/98,6584/386 is 3703500

2 9000, 6584
2 4500, 3292
2 2250, 1646
1125, 823

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1125 x 823 = 7407000

Least Common Multiple of 9000,6584 with GCF Formula

Least Common Multiple of 9000,6584 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 9000,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9000,6584) = 8

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

GCF(9000,6584) x common factors =8 x 1 = 8

LCM(9000,6584) = ( 9000 × 6584 ) / 8

LCM(9000,6584) = 59256000 / 8

LCM(9000,6584) = 7407000


Lets's calculate GCF of 98,386

2 98, 386
49, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7407000/2

Therefore the LCM of Fractions 9000/98,6584/386 is 3703500

Greatest Common Factor of 98,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,386 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 98,386 . The biggest common factor number is the GCF number.
So the greatest common factor 98,386 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 9000/98, 6584/386

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 9000/98, 6584/386?

Answer: LCM of Numerators as per given numbers 9000/98, 6584/386 is

LCM of Numerators i.e. for 9000,6584 is 7407000

GCF of denominators i.e. for 98,386 is 2.

Thus, LCM of Fractions is 3703500.Finally, LCM of Fractions for 9000/98, 6584/386 is 3703500.