Least Common Multiple of 571/51, 825/24, 368/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/51, 825/24, 368/917 quickly i.e. 173355600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/51, 825/24, 368/917 is 173355600.

LCM(571/51, 825/24, 368/917) = 173355600

LCM of 571/51, 825/24, 368/917

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 571/51,825/24,368/917

Given numbers are 571/51,825/24,368/917

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 571,825,368

Least Common Multiple of Numerators i.e. LCM of 571,825,368 is 173355600.

GCF of Denominators means GCF of 51,24,917 as per the given fractions.

GCF of 51,24,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,825,368

LCM of Fractions 571/51,825/24,368/917 is 173355600

Given numbers has no common factors except 1. So, there LCM is their product i.e 173355600

Least Common Multiple of 571,825,368 with GCF Formula

Least Common Multiple of 571,825,368 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 571,825,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,825,368) = 1

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

GCF(571,825,368) x common factors =1 x 1 = 1

LCM(571,825,368) = ( 571 × 825 × 368 ) / 1

LCM(571,825,368) = 173355600 / 1

LCM(571,825,368) = 173355600


Lets's calculate GCF of 51,24,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173355600/1

Therefore the LCM of Fractions 571/51,825/24,368/917 is 173355600

Greatest Common Factor of 51,24,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,24,917 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 51,24,917 . The biggest common factor number is the GCF number.
So the greatest common factor 51,24,917 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 571/51, 825/24, 368/917

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 571/51, 825/24, 368/917?

Answer: LCM of Numerators as per given numbers 571/51, 825/24, 368/917 is

LCM of Numerators i.e. for 571,825,368 is 173355600

GCF of denominators i.e. for 51,24,917 is 1.

Thus, LCM of Fractions is 173355600.Finally, LCM of Fractions for 571/51, 825/24, 368/917 is 173355600.