Given numbers are 460,271,399,152

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

The LCM of 460,271,399,152 is 99478680.

Find LCM of 460,271,399,152 with Prime Factorization

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

2 x 2 x 19 x 115 x 271 x 21 x 2 = 99478680

Therefore, the lowest common multiple of 460,271,399,152 is 99478680.

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 271 x 399 x 152 = 7560379680

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

271 : 1, 271

399 : 1, 3, 7, 19, 21, 57, 133, 399

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,271,399,152, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

271:271

399:3x 7x 19

152:2x 2x 2x 19

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 19 = 76

Therefore, the value for common factors is 76.

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 = 7560379680/(1x76)

LCM = 7560379680/76

LCM = 99478680

Thus, we can understand that the LCM of 460,271,399,152 is 99478680.

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

• LCM of 295, 213, 252, 206
• LCM of 131, 548, 499, 931
• LCM of 901, 738, 104, 563
• LCM of 650, 522, 770, 862
• LCM of 623, 826, 932, 147

1. What is the LCM of 460, 271, 399, 152?

Answer: LCM of 460, 271, 399, 152 is 99478680.

2. How to calculate the LCM of 460, 271, 399, 152?

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, 271, 399, 152.

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}.