Least Common Multiple of 3466/899, 5770/4008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3466/899, 5770/4008 quickly i.e. 9999410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3466/899, 5770/4008 is 9999410.

LCM(3466/899, 5770/4008) = 9999410

LCM of 3466/899, 5770/4008

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 3466/899,5770/4008

Given numbers are 3466/899,5770/4008

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 3466,5770

Least Common Multiple of Numerators i.e. LCM of 3466,5770 is 9999410.

GCF of Denominators means GCF of 899,4008 as per the given fractions.

GCF of 899,4008 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3466,5770

LCM of Fractions 3466/899,5770/4008 is 9999410

2 3466, 5770
1733, 2885

∴ So the LCM of the given numbers is 2 x 1733 x 2885 = 9999410

Least Common Multiple of 3466,5770 with GCF Formula

Least Common Multiple of 3466,5770 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 3466,5770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3466,5770) = 2

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

GCF(3466,5770) x common factors =2 x 1 = 2

LCM(3466,5770) = ( 3466 × 5770 ) / 2

LCM(3466,5770) = 19998820 / 2

LCM(3466,5770) = 9999410


Lets's calculate GCF of 899,4008

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9999410/1

Therefore the LCM of Fractions 3466/899,5770/4008 is 9999410

Greatest Common Factor of 899,4008 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,4008 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Greatest Common Factor

We found the factors 899,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 899,4008 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3466/899, 5770/4008

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 3466/899, 5770/4008?

Answer: LCM of Numerators as per given numbers 3466/899, 5770/4008 is

LCM of Numerators i.e. for 3466,5770 is 9999410

GCF of denominators i.e. for 899,4008 is 1.

Thus, LCM of Fractions is 9999410.Finally, LCM of Fractions for 3466/899, 5770/4008 is 9999410.