Given numbers are 462,624,132,972

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

The LCM of 462,624,132,972 is 3891888.

Find LCM of 462,624,132,972 with Prime Factorization

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

2 x 2 x 3 x 11 x 7 x 52 x 1 x 81 = 3891888

Therefore, the lowest common multiple of 462,624,132,972 is 3891888.

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.

462 x 624 x 132 x 972 = 36988503552

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 462,624,132,972, is 6.

Now, the common factors can be found like this.

462:2x 3x 7x 11

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

132:2x 2x 3x 11

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 36988503552/(6x1584)

LCM = 36988503552/9504

LCM = 3891888

Thus, we can understand that the LCM of 462,624,132,972 is 3891888.

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

• LCM of 731, 820, 641, 635
• LCM of 304, 113, 872, 488
• LCM of 940, 653, 791, 760
• LCM of 161, 895, 777, 777
• LCM of 686, 655, 472, 137

1. What is the LCM of 462, 624, 132, 972?

Answer: LCM of 462, 624, 132, 972 is 3891888.

2. How to calculate the LCM of 462, 624, 132, 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 462, 624, 132, 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}.