Given numbers are 821,528,582,714,668

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

The LCM of 821,528,582,714,668 is 835626581328.

Find LCM of 821,528,582,714,668 with Prime Factorization

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

2 x 2 x 3 x 821 x 44 x 97 x 119 x 167 = 835626581328

Therefore, the lowest common multiple of 821,528,582,714,668 is 835626581328.

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.

821 x 528 x 582 x 714 x 668 = 120330227711232

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.

821 : 1, 821

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,528,582,714,668, is 1.

Now, the common factors can be found like this.

821:821

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

582:2x 3x 97

714:2x 3x 7x 17

668:2x 2x 167

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 120330227711232/(1x144)

LCM = 120330227711232/144

LCM = 835626581328

Thus, we can understand that the LCM of 821,528,582,714,668 is 835626581328.

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

• LCM of 750, 926, 580, 942, 285
• LCM of 170, 964, 248, 468, 170
• LCM of 626, 625, 203, 309, 449
• LCM of 827, 804, 604, 659, 575
• LCM of 871, 530, 406, 460, 784

1. What is the LCM of 821, 528, 582, 714, 668?

Answer: LCM of 821, 528, 582, 714, 668 is 835626581328.

2. How to calculate the LCM of 821, 528, 582, 714, 668?

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 821, 528, 582, 714, 668.

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}.