Given numbers are 894,524,460,509,468

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

The LCM of 894,524,460,509,468 is 534710903220.

Find LCM of 894,524,460,509,468 with Prime Factorization

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

2 x 2 x 3 x 149 x 131 x 115 x 509 x 39 = 534710903220

Therefore, the lowest common multiple of 894,524,460,509,468 is 534710903220.

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.

894 x 524 x 460 x 509 x 468 = 51332246709120

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

524 : 1, 2, 4, 131, 262, 524

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

509 : 1, 509

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,524,460,509,468, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

524:2x 2x 131

460:2x 2x 5x 23

509:509

468:2x 2x 3x 3x 13

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 3 = 96

Therefore, the value for common factors is 96.

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 = 51332246709120/(1x96)

LCM = 51332246709120/96

LCM = 534710903220

Thus, we can understand that the LCM of 894,524,460,509,468 is 534710903220.

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

• LCM of 888, 362, 590, 954, 143
• LCM of 488, 126, 595, 591, 734
• LCM of 823, 748, 368, 168, 835
• LCM of 398, 961, 349, 705, 349
• LCM of 283, 250, 788, 418, 184

1. What is the LCM of 894, 524, 460, 509, 468?

Answer: LCM of 894, 524, 460, 509, 468 is 534710903220.

2. How to calculate the LCM of 894, 524, 460, 509, 468?

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 894, 524, 460, 509, 468.

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}.