Given numbers are 132,468,974,420

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

The LCM of 132,468,974,420 is 87747660.

Find LCM of 132,468,974,420 with Prime Factorization

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

2 x 2 x 3 x 11 x 39 x 487 x 35 = 87747660

Therefore, the lowest common multiple of 132,468,974,420 is 87747660.

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.

132 x 468 x 974 x 420 = 25271326080

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

974 : 1, 2, 487, 974

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,468,974,420, is 2.

Now, the common factors can be found like this.

132:2x 2x 3x 11

468:2x 2x 3x 3x 13

974:2x 487

420:2x 2x 3x 5x 7

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 3 = 144

Therefore, the value for common factors is 144.

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 = 25271326080/(2x144)

LCM = 25271326080/288

LCM = 87747660

Thus, we can understand that the LCM of 132,468,974,420 is 87747660.

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

• LCM of 751, 874, 426, 170
• LCM of 148, 271, 656, 473
• LCM of 340, 714, 679, 790
• LCM of 896, 113, 278, 187
• LCM of 677, 228, 348, 142

1. What is the LCM of 132, 468, 974, 420?

Answer: LCM of 132, 468, 974, 420 is 87747660.

2. How to calculate the LCM of 132, 468, 974, 420?

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 132, 468, 974, 420.

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}.