Given numbers are 524,299,338,572,460

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

The LCM of 524,299,338,572,460 is 112023340.

Find LCM of 524,299,338,572,460 with Prime Factorization

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

2 x 2 x 13 x 23 x 131 x 1 x 13 x 11 x 5 = 112023340

Therefore, the lowest common multiple of 524,299,338,572,460 is 112023340.

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.

524 x 299 x 338 x 572 x 460 = 13933911122560

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.

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

299 : 1, 13, 23, 299

338 : 1, 2, 13, 26, 169, 338

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,299,338,572,460, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

299:13x 23

338:2x 13x 13

572:2x 2x 11x 13

460:2x 2x 5x 23

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 13x 13x 23 = 124384

Therefore, the value for common factors is 124384.

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 = 13933911122560/(1x124384)

LCM = 13933911122560/124384

LCM = 112023340

Thus, we can understand that the LCM of 524,299,338,572,460 is 112023340.

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

• LCM of 557, 373, 868, 837, 586
• LCM of 155, 423, 586, 441, 149
• LCM of 152, 362, 470, 952, 724
• LCM of 749, 603, 989, 999, 662
• LCM of 684, 992, 294, 812, 832

1. What is the LCM of 524, 299, 338, 572, 460?

Answer: LCM of 524, 299, 338, 572, 460 is 112023340.

2. How to calculate the LCM of 524, 299, 338, 572, 460?

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 524, 299, 338, 572, 460.

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}.