Given numbers are 460,784,149,987

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

The LCM of 460,784,149,987 is 1894171440.

Find LCM of 460,784,149,987 with Prime Factorization

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

2 x 2 x 7 x 115 x 28 x 149 x 141 = 1894171440

Therefore, the lowest common multiple of 460,784,149,987 is 1894171440.

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 784 x 149 x 987 = 53036800320

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

149 : 1, 149

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,784,149,987, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

784:2x 2x 2x 2x 7x 7

149:149

987:3x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 53036800320/(1x28)

LCM = 53036800320/28

LCM = 1894171440

Thus, we can understand that the LCM of 460,784,149,987 is 1894171440.

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

• LCM of 967, 427, 502, 975
• LCM of 167, 142, 636, 936
• LCM of 234, 695, 838, 796
• LCM of 335, 838, 707, 899
• LCM of 766, 943, 662, 875

1. What is the LCM of 460, 784, 149, 987?

Answer: LCM of 460, 784, 149, 987 is 1894171440.

2. How to calculate the LCM of 460, 784, 149, 987?

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, 784, 149, 987.

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}.