Least Common Multiple of 589/153, 4192/2790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/153, 4192/2790 quickly i.e. 2469088/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/153, 4192/2790 is 2469088/9.

LCM(589/153, 4192/2790) = 2469088/9

LCM of 589/153, 4192/2790

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 589/153,4192/2790

Given numbers are 589/153,4192/2790

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 589,4192

Least Common Multiple of Numerators i.e. LCM of 589,4192 is 2469088.

GCF of Denominators means GCF of 153,2790 as per the given fractions.

GCF of 153,2790 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,4192

LCM of Fractions 589/153,4192/2790 is 2469088/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 2469088

Least Common Multiple of 589,4192 with GCF Formula

Least Common Multiple of 589,4192 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 589,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,4192) = 1

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

GCF(589,4192) x common factors =1 x 1 = 1

LCM(589,4192) = ( 589 × 4192 ) / 1

LCM(589,4192) = 2469088 / 1

LCM(589,4192) = 2469088


Lets's calculate GCF of 153,2790

3 153, 2790
3 51, 930
17, 310

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2469088/9

Therefore the LCM of Fractions 589/153,4192/2790 is 2469088/9

Greatest Common Factor of 153,2790 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,2790 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Greatest Common Factor

We found the factors 153,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 153,2790 is 9.


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 589/153, 4192/2790

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 589/153, 4192/2790?

Answer: LCM of Numerators as per given numbers 589/153, 4192/2790 is

LCM of Numerators i.e. for 589,4192 is 2469088

GCF of denominators i.e. for 153,2790 is 9.

Thus, LCM of Fractions is 2469088/9.Finally, LCM of Fractions for 589/153, 4192/2790 is 2469088/9.