Given numbers are 571,528,378,141,714

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

The LCM of 571,528,378,141,714 is 15176001456.

Find LCM of 571,528,378,141,714 with Prime Factorization

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

2 x 3 x 7 x 571 x 88 x 9 x 47 x 17 = 15176001456

Therefore, the lowest common multiple of 571,528,378,141,714 is 15176001456.

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.

571 x 528 x 378 x 141 x 714 = 11473057100736

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.

571 : 1, 571

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

141 : 1, 3, 47, 141

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,528,378,141,714, is 1.

Now, the common factors can be found like this.

571:571

528:2x 2x 2x 2x 3x 11

378:2x 3x 3x 3x 7

141:3x 47

714:2x 3x 7x 17

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 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 11473057100736/(1x756)

LCM = 11473057100736/756

LCM = 15176001456

Thus, we can understand that the LCM of 571,528,378,141,714 is 15176001456.

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

• LCM of 515, 222, 142, 279, 955
• LCM of 745, 333, 219, 223, 793
• LCM of 702, 656, 663, 445, 545
• LCM of 611, 514, 713, 582, 711
• LCM of 817, 626, 879, 140, 504

1. What is the LCM of 571, 528, 378, 141, 714?

Answer: LCM of 571, 528, 378, 141, 714 is 15176001456.

2. How to calculate the LCM of 571, 528, 378, 141, 714?

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 571, 528, 378, 141, 714.

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}.