Least Common Multiple of 4488/570, 6132/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4488/570, 6132/605 quickly i.e. 2293368/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4488/570, 6132/605 is 2293368/5.

LCM(4488/570, 6132/605) = 2293368/5

LCM of 4488/570, 6132/605

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 4488/570,6132/605

Given numbers are 4488/570,6132/605

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 4488,6132

Least Common Multiple of Numerators i.e. LCM of 4488,6132 is 2293368.

GCF of Denominators means GCF of 570,605 as per the given fractions.

GCF of 570,605 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4488,6132

LCM of Fractions 4488/570,6132/605 is 2293368/5

2 4488, 6132
2 2244, 3066
3 1122, 1533
374, 511

∴ So the LCM of the given numbers is 2 x 2 x 3 x 374 x 511 = 2293368

Least Common Multiple of 4488,6132 with GCF Formula

Least Common Multiple of 4488,6132 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 4488,6132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4488,6132) = 12

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

GCF(4488,6132) x common factors =12 x 1 = 12

LCM(4488,6132) = ( 4488 × 6132 ) / 12

LCM(4488,6132) = 27520416 / 12

LCM(4488,6132) = 2293368


Lets's calculate GCF of 570,605

5 570, 605
114, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2293368/5

Therefore the LCM of Fractions 4488/570,6132/605 is 2293368/5

Greatest Common Factor of 570,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,605 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 570,605 . The biggest common factor number is the GCF number.
So the greatest common factor 570,605 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 4488/570, 6132/605

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 4488/570, 6132/605?

Answer: LCM of Numerators as per given numbers 4488/570, 6132/605 is

LCM of Numerators i.e. for 4488,6132 is 2293368

GCF of denominators i.e. for 570,605 is 5.

Thus, LCM of Fractions is 2293368/5.Finally, LCM of Fractions for 4488/570, 6132/605 is 2293368/5.