Given numbers are 460,201,762,229,846

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

The LCM of 460,201,762,229,846 is 379150999380.

Find LCM of 460,201,762,229,846 with Prime Factorization

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

2 x 3 x 230 x 67 x 127 x 229 x 141 = 379150999380

Therefore, the lowest common multiple of 460,201,762,229,846 is 379150999380.

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.

460 x 201 x 762 x 229 x 846 = 13649435977680

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

201 : 1, 3, 67, 201

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

229 : 1, 229

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,201,762,229,846, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

201:3x 67

762:2x 3x 127

229:229

846:2x 3x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 13649435977680/(1x36)

LCM = 13649435977680/36

LCM = 379150999380

Thus, we can understand that the LCM of 460,201,762,229,846 is 379150999380.

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

• LCM of 155, 993, 495, 399, 552
• LCM of 991, 426, 729, 156, 108
• LCM of 555, 903, 413, 969, 947
• LCM of 189, 760, 879, 642, 425
• LCM of 361, 282, 337, 586, 805

1. What is the LCM of 460, 201, 762, 229, 846?

Answer: LCM of 460, 201, 762, 229, 846 is 379150999380.

2. How to calculate the LCM of 460, 201, 762, 229, 846?

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 460, 201, 762, 229, 846.

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}.