Least Common Multiple of 699/36, 671/6912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/36, 671/6912 quickly i.e. 469029/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/36, 671/6912 is 469029/36.

LCM(699/36, 671/6912) = 469029/36

LCM of 699/36, 671/6912

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 699/36,671/6912

Given numbers are 699/36,671/6912

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 699,671

Least Common Multiple of Numerators i.e. LCM of 699,671 is 469029.

GCF of Denominators means GCF of 36,6912 as per the given fractions.

GCF of 36,6912 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,671

LCM of Fractions 699/36,671/6912 is 469029/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 469029

Least Common Multiple of 699,671 with GCF Formula

Least Common Multiple of 699,671 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 699,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,671) = 1

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

GCF(699,671) x common factors =1 x 1 = 1

LCM(699,671) = ( 699 × 671 ) / 1

LCM(699,671) = 469029 / 1

LCM(699,671) = 469029


Lets's calculate GCF of 36,6912

2 36, 6912
2 18, 3456
3 9, 1728
3 3, 576
1, 192

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469029/36

Therefore the LCM of Fractions 699/36,671/6912 is 469029/36

Greatest Common Factor of 36,6912 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,6912 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 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Greatest Common Factor

We found the factors 36,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6912 is 36.


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Frequently Asked Questions on Fractional LCM of 699/36, 671/6912

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 699/36, 671/6912?

Answer: LCM of Numerators as per given numbers 699/36, 671/6912 is

LCM of Numerators i.e. for 699,671 is 469029

GCF of denominators i.e. for 36,6912 is 36.

Thus, LCM of Fractions is 469029/36.Finally, LCM of Fractions for 699/36, 671/6912 is 469029/36.