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LCM of 239, 909, 807, 681, 984

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


Find the LCM of 239, 909, 807, 681, 984 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 239, 909, 807, 681, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,909,807,681,984

Given numbers are 239,909,807,681,984

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

The LCM of 239,909,807,681,984 is 4351247282664.

Find LCM of 239,909,807,681,984 with Prime Factorization


3 239, 909, 807, 681, 984
239, 303, 269, 227, 328

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

3 x 239 x 303 x 269 x 227 x 328 = 4351247282664

Therefore, the lowest common multiple of 239,909,807,681,984 is 4351247282664.

LCM Formula to Find Lowest Common Multiple of 239,909,807,681,984

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.

239 x 909 x 807 x 681 x 984 = 117483676631928

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.

239 : 1, 239

909 : 1, 3, 9, 101, 303, 909

807 : 1, 3, 269, 807

681 : 1, 3, 227, 681

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,909,807,681,984, is 1.

Now, the common factors can be found like this.

239:239

909:3x 3x 101

807:3x 269

681:3x 227

984:2x 2x 2x 3x 41

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 117483676631928/(1x27)

LCM = 117483676631928/27

LCM = 4351247282664

Thus, we can understand that the LCM of 239,909,807,681,984 is 4351247282664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 909, 807, 681, 984

1. What is the LCM of 239, 909, 807, 681, 984?

Answer: LCM of 239, 909, 807, 681, 984 is 4351247282664.

2. How to calculate the LCM of 239, 909, 807, 681, 984?

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 239, 909, 807, 681, 984.

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}.