Least Common Multiple of 4699/728, 7154/4589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4699/728, 7154/4589 quickly i.e. 33616646/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4699/728, 7154/4589 is 33616646/13.

LCM(4699/728, 7154/4589) = 33616646/13

LCM of 4699/728, 7154/4589

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 4699/728,7154/4589

Given numbers are 4699/728,7154/4589

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 4699,7154

Least Common Multiple of Numerators i.e. LCM of 4699,7154 is 33616646.

GCF of Denominators means GCF of 728,4589 as per the given fractions.

GCF of 728,4589 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4699,7154

LCM of Fractions 4699/728,7154/4589 is 33616646/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 33616646

Least Common Multiple of 4699,7154 with GCF Formula

Least Common Multiple of 4699,7154 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 4699,7154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4699,7154) = 1

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

GCF(4699,7154) x common factors =1 x 1 = 1

LCM(4699,7154) = ( 4699 × 7154 ) / 1

LCM(4699,7154) = 33616646 / 1

LCM(4699,7154) = 33616646


Lets's calculate GCF of 728,4589

13 728, 4589
56, 353

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33616646/13

Therefore the LCM of Fractions 4699/728,7154/4589 is 33616646/13

Greatest Common Factor of 728,4589 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,4589 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 4589

List of positive integer factors of 4589 that divides 4589 without a remainder.

1,13,353,4589

Greatest Common Factor

We found the factors 728,4589 . The biggest common factor number is the GCF number.
So the greatest common factor 728,4589 is 13.


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 4699/728, 7154/4589

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 4699/728, 7154/4589?

Answer: LCM of Numerators as per given numbers 4699/728, 7154/4589 is

LCM of Numerators i.e. for 4699,7154 is 33616646

GCF of denominators i.e. for 728,4589 is 13.

Thus, LCM of Fractions is 33616646/13.Finally, LCM of Fractions for 4699/728, 7154/4589 is 33616646/13.