Given numbers are 562,527,416,432,687

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

The LCM of 562,527,416,432,687 is 380898719136.

Find LCM of 562,527,416,432,687 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 281 x 527 x 26 x 9 x 229 = 380898719136

Therefore, the lowest common multiple of 562,527,416,432,687 is 380898719136.

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.

562 x 527 x 416 x 432 x 687 = 36566277037056

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.

562 : 1, 2, 281, 562

527 : 1, 17, 31, 527

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,527,416,432,687, is 1.

Now, the common factors can be found like this.

562:2x 281

527:17x 31

416:2x 2x 2x 2x 2x 13

432:2x 2x 2x 2x 3x 3x 3

687:3x 229

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 = 36566277037056/(1x96)

LCM = 36566277037056/96

LCM = 380898719136

Thus, we can understand that the LCM of 562,527,416,432,687 is 380898719136.

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

• LCM of 501, 410, 919, 395, 333
• LCM of 638, 487, 235, 980, 445
• LCM of 141, 526, 901, 638, 915
• LCM of 790, 300, 187, 300, 396
• LCM of 775, 769, 401, 974, 594

1. What is the LCM of 562, 527, 416, 432, 687?

Answer: LCM of 562, 527, 416, 432, 687 is 380898719136.

2. How to calculate the LCM of 562, 527, 416, 432, 687?

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 562, 527, 416, 432, 687.

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}.