Least Common Multiple of 574/32, 735/61, 193/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/32, 735/61, 193/577 quickly i.e. 11632110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/32, 735/61, 193/577 is 11632110.

LCM(574/32, 735/61, 193/577) = 11632110

LCM of 574/32, 735/61, 193/577

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 574/32,735/61,193/577

Given numbers are 574/32,735/61,193/577

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 574,735,193

Least Common Multiple of Numerators i.e. LCM of 574,735,193 is 11632110.

GCF of Denominators means GCF of 32,61,577 as per the given fractions.

GCF of 32,61,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,735,193

LCM of Fractions 574/32,735/61,193/577 is 11632110

7 574, 735, 193
82, 105, 193

∴ So the LCM of the given numbers is 7 x 82 x 105 x 193 = 11632110

Least Common Multiple of 574,735,193 with GCF Formula

Least Common Multiple of 574,735,193 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 574,735,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,735,193) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(574,735,193) x common factors =1 x 7 = 7

LCM(574,735,193) = ( 574 × 735 × 193 ) / 7

LCM(574,735,193) = 81424770 / 7

LCM(574,735,193) = 11632110


Lets's calculate GCF of 32,61,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11632110/1

Therefore the LCM of Fractions 574/32,735/61,193/577 is 11632110

Greatest Common Factor of 32,61,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,61,577 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 32,61,577 . The biggest common factor number is the GCF number.
So the greatest common factor 32,61,577 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 574/32, 735/61, 193/577

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 574/32, 735/61, 193/577?

Answer: LCM of Numerators as per given numbers 574/32, 735/61, 193/577 is

LCM of Numerators i.e. for 574,735,193 is 11632110

GCF of denominators i.e. for 32,61,577 is 1.

Thus, LCM of Fractions is 11632110.Finally, LCM of Fractions for 574/32, 735/61, 193/577 is 11632110.