Given numbers are 416,956,703,729,614

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

The LCM of 416,956,703,729,614 is 15642726798816.

Find LCM of 416,956,703,729,614 with Prime Factorization

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

2 x 2 x 104 x 239 x 703 x 729 x 307 = 15642726798816

Therefore, the lowest common multiple of 416,956,703,729,614 is 15642726798816.

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.

416 x 956 x 703 x 729 x 614 = 125141814390528

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

956 : 1, 2, 4, 239, 478, 956

703 : 1, 19, 37, 703

729 : 1, 3, 9, 27, 81, 243, 729

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,956,703,729,614, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

956:2x 2x 239

703:19x 37

729:3x 3x 3x 3x 3x 3

614:2x 307

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 2 = 8

Therefore, the value for common factors is 8.

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 = 125141814390528/(1x8)

LCM = 125141814390528/8

LCM = 15642726798816

Thus, we can understand that the LCM of 416,956,703,729,614 is 15642726798816.

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

• LCM of 871, 853, 768, 541, 770
• LCM of 155, 573, 360, 341, 800
• LCM of 164, 109, 154, 993, 921
• LCM of 208, 907, 813, 169, 413
• LCM of 618, 932, 421, 929, 882

1. What is the LCM of 416, 956, 703, 729, 614?

Answer: LCM of 416, 956, 703, 729, 614 is 15642726798816.

2. How to calculate the LCM of 416, 956, 703, 729, 614?

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 416, 956, 703, 729, 614.

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}.