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LCM of 104, 572, 793, 925, 690

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


Find the LCM of 104, 572, 793, 925, 690 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 104, 572, 793, 925, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,572,793,925,690

Given numbers are 104,572,793,925,690

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

The LCM of 104,572,793,925,690 is 4453963800.

Find LCM of 104,572,793,925,690 with Prime Factorization


2 104, 572, 793, 925, 690
2 52, 286, 793, 925, 345
5 26, 143, 793, 925, 345
13 26, 143, 793, 185, 69
2, 11, 61, 185, 69

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

2 x 2 x 5 x 13 x 2 x 11 x 61 x 185 x 69 = 4453963800

Therefore, the lowest common multiple of 104,572,793,925,690 is 4453963800.

LCM Formula to Find Lowest Common Multiple of 104,572,793,925,690

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.

104 x 572 x 793 x 925 x 690 = 30108795288000

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

793 : 1, 13, 61, 793

925 : 1, 5, 25, 37, 185, 925

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,572,793,925,690, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

572:2x 2x 11x 13

793:13x 61

925:5x 5x 37

690:2x 3x 5x 23

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 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 30108795288000/(1x6760)

LCM = 30108795288000/6760

LCM = 4453963800

Thus, we can understand that the LCM of 104,572,793,925,690 is 4453963800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 572, 793, 925, 690

1. What is the LCM of 104, 572, 793, 925, 690?

Answer: LCM of 104, 572, 793, 925, 690 is 4453963800.

2. How to calculate the LCM of 104, 572, 793, 925, 690?

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 104, 572, 793, 925, 690.

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}.