Given numbers are 745,535,207,814

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

The LCM of 745,535,207,814 is 13431818070.

Find LCM of 745,535,207,814 with Prime Factorization

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

5 x 149 x 107 x 207 x 814 = 13431818070

Therefore, the lowest common multiple of 745,535,207,814 is 13431818070.

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.

745 x 535 x 207 x 814 = 67159090350

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.

745 : 1, 5, 149, 745

535 : 1, 5, 107, 535

207 : 1, 3, 9, 23, 69, 207

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 745,535,207,814, is 1.

Now, the common factors can be found like this.

745:5x 149

535:5x 107

207:3x 3x 23

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 67159090350/(1x5)

LCM = 67159090350/5

LCM = 13431818070

Thus, we can understand that the LCM of 745,535,207,814 is 13431818070.

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

• LCM of 810, 777, 147, 542
• LCM of 274, 140, 142, 818
• LCM of 724, 392, 594, 870
• LCM of 648, 799, 335, 675
• LCM of 488, 592, 825, 544

1. What is the LCM of 745, 535, 207, 814?

Answer: LCM of 745, 535, 207, 814 is 13431818070.

2. How to calculate the LCM of 745, 535, 207, 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 745, 535, 207, 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}.