Given numbers are 780,420,939,869,575

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

The LCM of 780,420,939,869,575 is 170786916300.

Find LCM of 780,420,939,869,575 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 7 x 313 x 869 x 115 = 170786916300

Therefore, the lowest common multiple of 780,420,939,869,575 is 170786916300.

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.

780 x 420 x 939 x 869 x 575 = 153708224670000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

939 : 1, 3, 313, 939

869 : 1, 11, 79, 869

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,420,939,869,575, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

420:2x 2x 3x 5x 7

939:3x 313

869:11x 79

575:5x 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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 153708224670000/(1x900)

LCM = 153708224670000/900

LCM = 170786916300

Thus, we can understand that the LCM of 780,420,939,869,575 is 170786916300.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 721, 691, 202, 550, 625
• LCM of 770, 576, 226, 748, 813
• LCM of 962, 321, 139, 871, 978
• LCM of 373, 838, 299, 180, 592
• LCM of 215, 628, 651, 955, 187

1. What is the LCM of 780, 420, 939, 869, 575?

Answer: LCM of 780, 420, 939, 869, 575 is 170786916300.

2. How to calculate the LCM of 780, 420, 939, 869, 575?

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 780, 420, 939, 869, 575.

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}.