Least Common Multiple of 353/36, 580/40, 577/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/36, 580/40, 577/998 quickly i.e. 59067490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/36, 580/40, 577/998 is 59067490.

LCM(353/36, 580/40, 577/998) = 59067490

LCM of 353/36, 580/40, 577/998

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 353/36,580/40,577/998

Given numbers are 353/36,580/40,577/998

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 353,580,577

Least Common Multiple of Numerators i.e. LCM of 353,580,577 is 118134980.

GCF of Denominators means GCF of 36,40,998 as per the given fractions.

GCF of 36,40,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,580,577

LCM of Fractions 353/36,580/40,577/998 is 59067490

Given numbers has no common factors except 1. So, there LCM is their product i.e 118134980

Least Common Multiple of 353,580,577 with GCF Formula

Least Common Multiple of 353,580,577 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 353,580,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,580,577) = 1

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

GCF(353,580,577) x common factors =1 x 1 = 1

LCM(353,580,577) = ( 353 × 580 × 577 ) / 1

LCM(353,580,577) = 118134980 / 1

LCM(353,580,577) = 118134980


Lets's calculate GCF of 36,40,998

2 36, 40, 998
18, 20, 499

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118134980/2

Therefore the LCM of Fractions 353/36,580/40,577/998 is 59067490

Greatest Common Factor of 36,40,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,40,998 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 36,40,998 . The biggest common factor number is the GCF number.
So the greatest common factor 36,40,998 is 2.


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 353/36, 580/40, 577/998

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 353/36, 580/40, 577/998?

Answer: LCM of Numerators as per given numbers 353/36, 580/40, 577/998 is

LCM of Numerators i.e. for 353,580,577 is 118134980

GCF of denominators i.e. for 36,40,998 is 2.

Thus, LCM of Fractions is 59067490.Finally, LCM of Fractions for 353/36, 580/40, 577/998 is 59067490.