Given numbers are 714,321,260,771,136

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

The LCM of 714,321,260,771,136 is 5104914360.

Find LCM of 714,321,260,771,136 with Prime Factorization

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

2 x 2 x 3 x 17 x 7 x 107 x 65 x 257 x 2 = 5104914360

Therefore, the lowest common multiple of 714,321,260,771,136 is 5104914360.

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.

714 x 321 x 260 x 771 x 136 = 6248415176640

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.

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

321 : 1, 3, 107, 321

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

771 : 1, 3, 257, 771

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,321,260,771,136, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

321:3x 107

260:2x 2x 5x 13

771:3x 257

136:2x 2x 2x 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 2x 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 6248415176640/(1x1224)

LCM = 6248415176640/1224

LCM = 5104914360

Thus, we can understand that the LCM of 714,321,260,771,136 is 5104914360.

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

• LCM of 473, 507, 868, 767, 580
• LCM of 306, 904, 740, 225, 630
• LCM of 673, 931, 381, 851, 972
• LCM of 745, 439, 932, 654, 286
• LCM of 395, 517, 719, 460, 499

1. What is the LCM of 714, 321, 260, 771, 136?

Answer: LCM of 714, 321, 260, 771, 136 is 5104914360.

2. How to calculate the LCM of 714, 321, 260, 771, 136?

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 714, 321, 260, 771, 136.

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}.