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LCM of 636, 306, 867, 990

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 636, 306, 867, 990 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 636, 306, 867, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 636,306,867,990

Given numbers are 636,306,867,990

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 636,306,867,990 is 30327660.

Find LCM of 636,306,867,990 with Prime Factorization


2 636, 306, 867, 990
3 318, 153, 867, 495
3 106, 51, 289, 165
17 106, 17, 289, 55
106, 1, 17, 55

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 17 x 106 x 1 x 17 x 55 = 30327660

Therefore, the lowest common multiple of 636,306,867,990 is 30327660.

LCM Formula to Find Lowest Common Multiple of 636,306,867,990

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

636 x 306 x 867 x 990 = 167044751280

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

867 : 1, 3, 17, 51, 289, 867

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,306,867,990, is 3.

Now, the common factors can be found like this.

636:2x 2x 3x 53

306:2x 3x 3x 17

867:3x 17x 17

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 167044751280/(3x1836)

LCM = 167044751280/5508

LCM = 30327660

Thus, we can understand that the LCM of 636,306,867,990 is 30327660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 636, 306, 867, 990

1. What is the LCM of 636, 306, 867, 990?

Answer: LCM of 636, 306, 867, 990 is 30327660.

2. How to calculate the LCM of 636, 306, 867, 990?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 636, 306, 867, 990.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.