Given numbers are 460,596,876,532

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

The LCM of 460,596,876,532 is 1996364580.

Find LCM of 460,596,876,532 with Prime Factorization

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

2 x 2 x 115 x 149 x 219 x 133 = 1996364580

Therefore, the lowest common multiple of 460,596,876,532 is 1996364580.

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 596 x 876 x 532 = 127767333120

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

596 : 1, 2, 4, 149, 298, 596

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,596,876,532, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

596:2x 2x 149

876:2x 2x 3x 73

532:2x 2x 7x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 127767333120/(4x16)

LCM = 127767333120/64

LCM = 1996364580

Thus, we can understand that the LCM of 460,596,876,532 is 1996364580.

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

• LCM of 275, 763, 920, 900
• LCM of 347, 372, 970, 521
• LCM of 415, 793, 725, 854
• LCM of 171, 162, 164, 918
• LCM of 955, 236, 846, 627

1. What is the LCM of 460, 596, 876, 532?

Answer: LCM of 460, 596, 876, 532 is 1996364580.

2. How to calculate the LCM of 460, 596, 876, 532?

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, 596, 876, 532.

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}.