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LCM of 793, 901, 507, 705

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


Find the LCM of 793, 901, 507, 705 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 793, 901, 507, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,901,507,705

Given numbers are 793,901,507,705

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

The LCM of 793,901,507,705 is 6548328345.

Find LCM of 793,901,507,705 with Prime Factorization


3 793, 901, 507, 705
13 793, 901, 169, 235
61, 901, 13, 235

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

3 x 13 x 61 x 901 x 13 x 235 = 6548328345

Therefore, the lowest common multiple of 793,901,507,705 is 6548328345.

LCM Formula to Find Lowest Common Multiple of 793,901,507,705

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.

793 x 901 x 507 x 705 = 255384805455

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.

793 : 1, 13, 61, 793

901 : 1, 17, 53, 901

507 : 1, 3, 13, 39, 169, 507

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,901,507,705, is 1.

Now, the common factors can be found like this.

793:13x 61

901:17x 53

507:3x 13x 13

705:3x 5x 47

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 255384805455/(1x39)

LCM = 255384805455/39

LCM = 6548328345

Thus, we can understand that the LCM of 793,901,507,705 is 6548328345.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 901, 507, 705

1. What is the LCM of 793, 901, 507, 705?

Answer: LCM of 793, 901, 507, 705 is 6548328345.

2. How to calculate the LCM of 793, 901, 507, 705?

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 793, 901, 507, 705.

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}.