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LCM of 128, 230, 796, 709

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


Find the LCM of 128, 230, 796, 709 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 128, 230, 796, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,230,796,709

Given numbers are 128,230,796,709

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

The LCM of 128,230,796,709 is 2076859520.

Find LCM of 128,230,796,709 with Prime Factorization


2 128, 230, 796, 709
2 64, 115, 398, 709
32, 115, 199, 709

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

2 x 2 x 32 x 115 x 199 x 709 = 2076859520

Therefore, the lowest common multiple of 128,230,796,709 is 2076859520.

LCM Formula to Find Lowest Common Multiple of 128,230,796,709

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.

128 x 230 x 796 x 709 = 16614876160

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

230 : 1, 2, 5, 10, 23, 46, 115, 230

796 : 1, 2, 4, 199, 398, 796

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,230,796,709, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

230:2x 5x 23

796:2x 2x 199

709:709

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16614876160/(1x8)

LCM = 16614876160/8

LCM = 2076859520

Thus, we can understand that the LCM of 128,230,796,709 is 2076859520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 230, 796, 709

1. What is the LCM of 128, 230, 796, 709?

Answer: LCM of 128, 230, 796, 709 is 2076859520.

2. How to calculate the LCM of 128, 230, 796, 709?

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 128, 230, 796, 709.

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}.