Given numbers are 432,312,954,987

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

The LCM of 432,312,954,987 is 97926192.

Find LCM of 432,312,954,987 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 6 x 13 x 53 x 329 = 97926192

Therefore, the lowest common multiple of 432,312,954,987 is 97926192.

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.

432 x 312 x 954 x 987 = 126912344832

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

987 : 1, 3, 7, 21, 47, 141, 329, 987

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,312,954,987, is 3.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

312:2x 2x 2x 3x 13

954:2x 3x 3x 53

987:3x 7x 47

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 3 = 432

Therefore, the value for common factors is 432.

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 = 126912344832/(3x432)

LCM = 126912344832/1296

LCM = 97926192

Thus, we can understand that the LCM of 432,312,954,987 is 97926192.

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

• LCM of 800, 180, 372, 375
• LCM of 786, 624, 966, 631
• LCM of 581, 122, 206, 150
• LCM of 409, 543, 194, 191
• LCM of 267, 422, 832, 321

1. What is the LCM of 432, 312, 954, 987?

Answer: LCM of 432, 312, 954, 987 is 97926192.

2. How to calculate the LCM of 432, 312, 954, 987?

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 432, 312, 954, 987.

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}.