Given numbers are 748,462,702,613,814

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

The LCM of 748,462,702,613,814 is 41683958316.

Find LCM of 748,462,702,613,814 with Prime Factorization

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

2 x 3 x 11 x 34 x 7 x 117 x 613 x 37 = 41683958316

Therefore, the lowest common multiple of 748,462,702,613,814 is 41683958316.

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.

748 x 462 x 702 x 613 x 814 = 121050214949664

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

613 : 1, 613

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,462,702,613,814, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

462:2x 3x 7x 11

702:2x 3x 3x 3x 13

613:613

814:2x 11x 37

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 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 121050214949664/(1x2904)

LCM = 121050214949664/2904

LCM = 41683958316

Thus, we can understand that the LCM of 748,462,702,613,814 is 41683958316.

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

• LCM of 601, 295, 467, 386, 550
• LCM of 917, 554, 546, 197, 494
• LCM of 981, 989, 870, 702, 623
• LCM of 497, 172, 975, 209, 883
• LCM of 260, 581, 127, 763, 333

1. What is the LCM of 748, 462, 702, 613, 814?

Answer: LCM of 748, 462, 702, 613, 814 is 41683958316.

2. How to calculate the LCM of 748, 462, 702, 613, 814?

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 748, 462, 702, 613, 814.

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}.