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LCM of 677, 792, 792, 896

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


Find the LCM of 677, 792, 792, 896 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 677, 792, 792, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,792,792,896

Given numbers are 677,792,792,896

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

The LCM of 677,792,792,896 is 60052608.

Find LCM of 677,792,792,896 with Prime Factorization


2 677, 792, 792, 896
2 677, 396, 396, 448
2 677, 198, 198, 224
3 677, 99, 99, 112
3 677, 33, 33, 112
11 677, 11, 11, 112
677, 1, 1, 112

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

2 x 2 x 2 x 3 x 3 x 11 x 677 x 1 x 1 x 112 = 60052608

Therefore, the lowest common multiple of 677,792,792,896 is 60052608.

LCM Formula to Find Lowest Common Multiple of 677,792,792,896

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.

677 x 792 x 792 x 896 = 380493324288

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.

677 : 1, 677

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

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,792,792,896, is 1.

Now, the common factors can be found like this.

677:677

792:2x 2x 2x 3x 3x 11

792:2x 2x 2x 3x 3x 11

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

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 2x 2x 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 380493324288/(1x6336)

LCM = 380493324288/6336

LCM = 60052608

Thus, we can understand that the LCM of 677,792,792,896 is 60052608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 792, 792, 896

1. What is the LCM of 677, 792, 792, 896?

Answer: LCM of 677, 792, 792, 896 is 60052608.

2. How to calculate the LCM of 677, 792, 792, 896?

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 677, 792, 792, 896.

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}.