Least Common Multiple of 3208/636, 6008/1989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3208/636, 6008/1989 quickly i.e. 2409208/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3208/636, 6008/1989 is 2409208/3.

LCM(3208/636, 6008/1989) = 2409208/3

LCM of 3208/636, 6008/1989

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 3208/636,6008/1989

Given numbers are 3208/636,6008/1989

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 3208,6008

Least Common Multiple of Numerators i.e. LCM of 3208,6008 is 2409208.

GCF of Denominators means GCF of 636,1989 as per the given fractions.

GCF of 636,1989 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3208,6008

LCM of Fractions 3208/636,6008/1989 is 2409208/3

2 3208, 6008
2 1604, 3004
2 802, 1502
401, 751

∴ So the LCM of the given numbers is 2 x 2 x 2 x 401 x 751 = 2409208

Least Common Multiple of 3208,6008 with GCF Formula

Least Common Multiple of 3208,6008 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 3208,6008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3208,6008) = 8

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

GCF(3208,6008) x common factors =8 x 1 = 8

LCM(3208,6008) = ( 3208 × 6008 ) / 8

LCM(3208,6008) = 19273664 / 8

LCM(3208,6008) = 2409208


Lets's calculate GCF of 636,1989

3 636, 1989
212, 663

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2409208/3

Therefore the LCM of Fractions 3208/636,6008/1989 is 2409208/3

Greatest Common Factor of 636,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,1989 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 636,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 636,1989 is 3.


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 3208/636, 6008/1989

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 3208/636, 6008/1989?

Answer: LCM of Numerators as per given numbers 3208/636, 6008/1989 is

LCM of Numerators i.e. for 3208,6008 is 2409208

GCF of denominators i.e. for 636,1989 is 3.

Thus, LCM of Fractions is 2409208/3.Finally, LCM of Fractions for 3208/636, 6008/1989 is 2409208/3.