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LCM of 207, 989, 896, 792

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


Find the LCM of 207, 989, 896, 792 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 207, 989, 896, 792. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,989,896,792

Given numbers are 207,989,896,792

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

The LCM of 207,989,896,792 is 87728256.

Find LCM of 207,989,896,792 with Prime Factorization


2 207, 989, 896, 792
2 207, 989, 448, 396
2 207, 989, 224, 198
3 207, 989, 112, 99
3 69, 989, 112, 33
23 23, 989, 112, 11
1, 43, 112, 11

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

2 x 2 x 2 x 3 x 3 x 23 x 1 x 43 x 112 x 11 = 87728256

Therefore, the lowest common multiple of 207,989,896,792 is 87728256.

LCM Formula to Find Lowest Common Multiple of 207,989,896,792

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.

207 x 989 x 896 x 792 = 145277991936

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.

207 : 1, 3, 9, 23, 69, 207

989 : 1, 23, 43, 989

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,989,896,792, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

989:23x 43

896:2x 2x 2x 2x 2x 2x 2x 7

792:2x 2x 2x 3x 3x 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 2x 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 145277991936/(1x1656)

LCM = 145277991936/1656

LCM = 87728256

Thus, we can understand that the LCM of 207,989,896,792 is 87728256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 989, 896, 792

1. What is the LCM of 207, 989, 896, 792?

Answer: LCM of 207, 989, 896, 792 is 87728256.

2. How to calculate the LCM of 207, 989, 896, 792?

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 207, 989, 896, 792.

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}.