Least Common Multiple of 575/44, 420/30, 105/47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/44, 420/30, 105/47 quickly i.e. 48300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/44, 420/30, 105/47 is 48300.

LCM(575/44, 420/30, 105/47) = 48300

LCM of 575/44, 420/30, 105/47

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 575/44,420/30,105/47

Given numbers are 575/44,420/30,105/47

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 575,420,105

Least Common Multiple of Numerators i.e. LCM of 575,420,105 is 48300.

GCF of Denominators means GCF of 44,30,47 as per the given fractions.

GCF of 44,30,47 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,420,105

LCM of Fractions 575/44,420/30,105/47 is 48300

3 575, 420, 105
5 575, 140, 35
7 115, 28, 7
115, 4, 1

∴ So the LCM of the given numbers is 3 x 5 x 7 x 115 x 4 x 1 = 48300

Least Common Multiple of 575,420,105 with GCF Formula

Least Common Multiple of 575,420,105 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 575,420,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,420,105) = 5

common factors(in case of two or more numbers have common factors) = 105

GCF(575,420,105) x common factors =5 x 105 = 525

LCM(575,420,105) = ( 575 × 420 × 105 ) / 525

LCM(575,420,105) = 25357500 / 525

LCM(575,420,105) = 48300


Lets's calculate GCF of 44,30,47

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48300/1

Therefore the LCM of Fractions 575/44,420/30,105/47 is 48300

Greatest Common Factor of 44,30,47 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,30,47 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors 44,30,47 . The biggest common factor number is the GCF number.
So the greatest common factor 44,30,47 is 1.


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 575/44, 420/30, 105/47

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 575/44, 420/30, 105/47?

Answer: LCM of Numerators as per given numbers 575/44, 420/30, 105/47 is

LCM of Numerators i.e. for 575,420,105 is 48300

GCF of denominators i.e. for 44,30,47 is 1.

Thus, LCM of Fractions is 48300.Finally, LCM of Fractions for 575/44, 420/30, 105/47 is 48300.