Least Common Multiple of 573/18, 251/6300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 573/18, 251/6300 quickly i.e. 143823/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 573/18, 251/6300 is 143823/18.

LCM(573/18, 251/6300) = 143823/18

LCM of 573/18, 251/6300

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 573/18,251/6300

Given numbers are 573/18,251/6300

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 573,251

Least Common Multiple of Numerators i.e. LCM of 573,251 is 143823.

GCF of Denominators means GCF of 18,6300 as per the given fractions.

GCF of 18,6300 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 573,251

LCM of Fractions 573/18,251/6300 is 143823/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 143823

Least Common Multiple of 573,251 with GCF Formula

Least Common Multiple of 573,251 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 573,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,251) = 1

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

GCF(573,251) x common factors =1 x 1 = 1

LCM(573,251) = ( 573 × 251 ) / 1

LCM(573,251) = 143823 / 1

LCM(573,251) = 143823


Lets's calculate GCF of 18,6300

2 18, 6300
3 9, 3150
3 3, 1050
1, 350

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143823/18

Therefore the LCM of Fractions 573/18,251/6300 is 143823/18

Greatest Common Factor of 18,6300 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,6300 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Greatest Common Factor

We found the factors 18,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 18,6300 is 18.


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 573/18, 251/6300

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 573/18, 251/6300?

Answer: LCM of Numerators as per given numbers 573/18, 251/6300 is

LCM of Numerators i.e. for 573,251 is 143823

GCF of denominators i.e. for 18,6300 is 18.

Thus, LCM of Fractions is 143823/18.Finally, LCM of Fractions for 573/18, 251/6300 is 143823/18.