Least Common Multiple of 34/624, 41/990, 577/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/624, 41/990, 577/886 quickly i.e. 402169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/624, 41/990, 577/886 is 402169.

LCM(34/624, 41/990, 577/886) = 402169

LCM of 34/624, 41/990, 577/886

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 34/624,41/990,577/886

Given numbers are 34/624,41/990,577/886

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 34,41,577

Least Common Multiple of Numerators i.e. LCM of 34,41,577 is 804338.

GCF of Denominators means GCF of 624,990,886 as per the given fractions.

GCF of 624,990,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,41,577

LCM of Fractions 34/624,41/990,577/886 is 402169

Given numbers has no common factors except 1. So, there LCM is their product i.e 804338

Least Common Multiple of 34,41,577 with GCF Formula

Least Common Multiple of 34,41,577 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 34,41,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,41,577) = 1

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

GCF(34,41,577) x common factors =1 x 1 = 1

LCM(34,41,577) = ( 34 × 41 × 577 ) / 1

LCM(34,41,577) = 804338 / 1

LCM(34,41,577) = 804338


Lets's calculate GCF of 624,990,886

2 624, 990, 886
312, 495, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804338/2

Therefore the LCM of Fractions 34/624,41/990,577/886 is 402169

Greatest Common Factor of 624,990,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,990,886 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 624,990,886 . The biggest common factor number is the GCF number.
So the greatest common factor 624,990,886 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 34/624, 41/990, 577/886

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 34/624, 41/990, 577/886?

Answer: LCM of Numerators as per given numbers 34/624, 41/990, 577/886 is

LCM of Numerators i.e. for 34,41,577 is 804338

GCF of denominators i.e. for 624,990,886 is 2.

Thus, LCM of Fractions is 402169.Finally, LCM of Fractions for 34/624, 41/990, 577/886 is 402169.