Given numbers are 864,420,328,742

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

The LCM of 864,420,328,742 is 65711520.

Find LCM of 864,420,328,742 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 36 x 5 x 41 x 53 = 65711520

Therefore, the lowest common multiple of 864,420,328,742 is 65711520.

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.

864 x 420 x 328 x 742 = 88316282880

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,420,328,742, is 2.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

420:2x 2x 3x 5x 7

328:2x 2x 2x 41

742:2x 7x 53

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 88316282880/(2x672)

LCM = 88316282880/1344

LCM = 65711520

Thus, we can understand that the LCM of 864,420,328,742 is 65711520.

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

• LCM of 977, 979, 961, 937
• LCM of 488, 423, 615, 820
• LCM of 932, 421, 665, 585
• LCM of 653, 776, 754, 817
• LCM of 392, 231, 349, 779

1. What is the LCM of 864, 420, 328, 742?

Answer: LCM of 864, 420, 328, 742 is 65711520.

2. How to calculate the LCM of 864, 420, 328, 742?

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 864, 420, 328, 742.

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}.