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LCM of 767, 447, 793, 452, 912

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


Find the LCM of 767, 447, 793, 452, 912 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 767, 447, 793, 452, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,447,793,452,912

Given numbers are 767,447,793,452,912

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

The LCM of 767,447,793,452,912 is 718430479728.

Find LCM of 767,447,793,452,912 with Prime Factorization


2 767, 447, 793, 452, 912
2 767, 447, 793, 226, 456
3 767, 447, 793, 113, 228
13 767, 149, 793, 113, 76
59, 149, 61, 113, 76

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

2 x 2 x 3 x 13 x 59 x 149 x 61 x 113 x 76 = 718430479728

Therefore, the lowest common multiple of 767,447,793,452,912 is 718430479728.

LCM Formula to Find Lowest Common Multiple of 767,447,793,452,912

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.

767 x 447 x 793 x 452 x 912 = 112075154837568

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.

767 : 1, 13, 59, 767

447 : 1, 3, 149, 447

793 : 1, 13, 61, 793

452 : 1, 2, 4, 113, 226, 452

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,447,793,452,912, is 1.

Now, the common factors can be found like this.

767:13x 59

447:3x 149

793:13x 61

452:2x 2x 113

912:2x 2x 2x 2x 3x 19

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 13 = 156

Therefore, the value for common factors is 156.

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 = 112075154837568/(1x156)

LCM = 112075154837568/156

LCM = 718430479728

Thus, we can understand that the LCM of 767,447,793,452,912 is 718430479728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 447, 793, 452, 912

1. What is the LCM of 767, 447, 793, 452, 912?

Answer: LCM of 767, 447, 793, 452, 912 is 718430479728.

2. How to calculate the LCM of 767, 447, 793, 452, 912?

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 767, 447, 793, 452, 912.

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}.