Least Common Multiple of 10/504, 953/195, 223/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/504, 953/195, 223/564 quickly i.e. 2125190/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/504, 953/195, 223/564 is 2125190/3.

LCM(10/504, 953/195, 223/564) = 2125190/3

LCM of 10/504, 953/195, 223/564

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 10/504,953/195,223/564

Given numbers are 10/504,953/195,223/564

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 10,953,223

Least Common Multiple of Numerators i.e. LCM of 10,953,223 is 2125190.

GCF of Denominators means GCF of 504,195,564 as per the given fractions.

GCF of 504,195,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,953,223

LCM of Fractions 10/504,953/195,223/564 is 2125190/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2125190

Least Common Multiple of 10,953,223 with GCF Formula

Least Common Multiple of 10,953,223 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 10,953,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,953,223) = 1

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

GCF(10,953,223) x common factors =1 x 1 = 1

LCM(10,953,223) = ( 10 × 953 × 223 ) / 1

LCM(10,953,223) = 2125190 / 1

LCM(10,953,223) = 2125190


Lets's calculate GCF of 504,195,564

3 504, 195, 564
168, 65, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2125190/3

Therefore the LCM of Fractions 10/504,953/195,223/564 is 2125190/3

Greatest Common Factor of 504,195,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,195,564 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 504,195,564 . The biggest common factor number is the GCF number.
So the greatest common factor 504,195,564 is 3.


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 10/504, 953/195, 223/564

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 10/504, 953/195, 223/564?

Answer: LCM of Numerators as per given numbers 10/504, 953/195, 223/564 is

LCM of Numerators i.e. for 10,953,223 is 2125190

GCF of denominators i.e. for 504,195,564 is 3.

Thus, LCM of Fractions is 2125190/3.Finally, LCM of Fractions for 10/504, 953/195, 223/564 is 2125190/3.