Least Common Multiple of 989/125, 3084/5840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/125, 3084/5840 quickly i.e. 3050076/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/125, 3084/5840 is 3050076/5.

LCM(989/125, 3084/5840) = 3050076/5

LCM of 989/125, 3084/5840

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 989/125,3084/5840

Given numbers are 989/125,3084/5840

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 989,3084

Least Common Multiple of Numerators i.e. LCM of 989,3084 is 3050076.

GCF of Denominators means GCF of 125,5840 as per the given fractions.

GCF of 125,5840 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,3084

LCM of Fractions 989/125,3084/5840 is 3050076/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 3050076

Least Common Multiple of 989,3084 with GCF Formula

Least Common Multiple of 989,3084 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 989,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,3084) = 1

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

GCF(989,3084) x common factors =1 x 1 = 1

LCM(989,3084) = ( 989 × 3084 ) / 1

LCM(989,3084) = 3050076 / 1

LCM(989,3084) = 3050076


Lets's calculate GCF of 125,5840

5 125, 5840
25, 1168

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3050076/5

Therefore the LCM of Fractions 989/125,3084/5840 is 3050076/5

Greatest Common Factor of 125,5840 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,5840 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors 125,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 125,5840 is 5.


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 989/125, 3084/5840

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 989/125, 3084/5840?

Answer: LCM of Numerators as per given numbers 989/125, 3084/5840 is

LCM of Numerators i.e. for 989,3084 is 3050076

GCF of denominators i.e. for 125,5840 is 5.

Thus, LCM of Fractions is 3050076/5.Finally, LCM of Fractions for 989/125, 3084/5840 is 3050076/5.