Given numbers are 780,762,624,972

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

The LCM of 780,762,624,972 is 32095440.

Find LCM of 780,762,624,972 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 127 x 4 x 81 = 32095440

Therefore, the lowest common multiple of 780,762,624,972 is 32095440.

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 762 x 624 x 972 = 360495982080

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,762,624,972, is 6.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

762:2x 3x 127

624:2x 2x 2x 2x 3x 13

972:2x 2x 3x 3x 3x 3x 3

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 360495982080/(6x1872)

LCM = 360495982080/11232

LCM = 32095440

Thus, we can understand that the LCM of 780,762,624,972 is 32095440.

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

• LCM of 721, 542, 751, 987
• LCM of 483, 154, 383, 378
• LCM of 449, 994, 869, 837
• LCM of 618, 234, 309, 386
• LCM of 701, 648, 554, 971

1. What is the LCM of 780, 762, 624, 972?

Answer: LCM of 780, 762, 624, 972 is 32095440.

2. How to calculate the LCM of 780, 762, 624, 972?

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, 762, 624, 972.

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}.