Least Common Multiple of 989/58, 6036/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 989/58, 6036/500 quickly i.e. 2984802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/58, 6036/500 is 2984802.

LCM(989/58, 6036/500) = 2984802

LCM of 989/58, 6036/500

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 989/58,6036/500

Given numbers are 989/58,6036/500

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 989,6036

Least Common Multiple of Numerators i.e. LCM of 989,6036 is 5969604.

GCF of Denominators means GCF of 58,500 as per the given fractions.

GCF of 58,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,6036

LCM of Fractions 989/58,6036/500 is 2984802

Given numbers has no common factors except 1. So, there LCM is their product i.e 5969604

Least Common Multiple of 989,6036 with GCF Formula

Least Common Multiple of 989,6036 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 989,6036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,6036) = 1

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

GCF(989,6036) x common factors =1 x 1 = 1

LCM(989,6036) = ( 989 × 6036 ) / 1

LCM(989,6036) = 5969604 / 1

LCM(989,6036) = 5969604


Lets's calculate GCF of 58,500

2 58, 500
29, 250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5969604/2

Therefore the LCM of Fractions 989/58,6036/500 is 2984802

Greatest Common Factor of 58,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,500 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 58,500 . The biggest common factor number is the GCF number.
So the greatest common factor 58,500 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 989/58, 6036/500

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 989/58, 6036/500?

Answer: LCM of Numerators as per given numbers 989/58, 6036/500 is

LCM of Numerators i.e. for 989,6036 is 5969604

GCF of denominators i.e. for 58,500 is 2.

Thus, LCM of Fractions is 2984802.Finally, LCM of Fractions for 989/58, 6036/500 is 2984802.