Given numbers are 460,110,435,156,900

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

The LCM of 460,110,435,156,900 is 85842900.

Find LCM of 460,110,435,156,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 11 x 29 x 13 x 15 = 85842900

Therefore, the lowest common multiple of 460,110,435,156,900 is 85842900.

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 110 x 435 x 156 x 900 = 3090344400000

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

435 : 1, 3, 5, 15, 29, 87, 145, 435

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,110,435,156,900, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

110:2x 5x 11

435:3x 5x 29

156:2x 2x 3x 13

900:2x 2x 3x 3x 5x 5

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 3x 5x 5x 5 = 36000

Therefore, the value for common factors is 36000.

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 = 3090344400000/(1x36000)

LCM = 3090344400000/36000

LCM = 85842900

Thus, we can understand that the LCM of 460,110,435,156,900 is 85842900.

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

• LCM of 304, 130, 441, 508, 474
• LCM of 275, 952, 758, 671, 465
• LCM of 211, 254, 286, 354, 491
• LCM of 639, 754, 443, 715, 553
• LCM of 641, 397, 200, 576, 865

1. What is the LCM of 460, 110, 435, 156, 900?

Answer: LCM of 460, 110, 435, 156, 900 is 85842900.

2. How to calculate the LCM of 460, 110, 435, 156, 900?

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, 110, 435, 156, 900.

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}.