Given numbers are 734,767,146,730,306

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

The LCM of 734,767,146,730,306 is 31439506410.

Find LCM of 734,767,146,730,306 with Prime Factorization

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

2 x 73 x 367 x 767 x 1 x 5 x 153 = 31439506410

Therefore, the lowest common multiple of 734,767,146,730,306 is 31439506410.

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.

734 x 767 x 146 x 730 x 306 = 18360671743440

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.

734 : 1, 2, 367, 734

767 : 1, 13, 59, 767

146 : 1, 2, 73, 146

730 : 1, 2, 5, 10, 73, 146, 365, 730

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,767,146,730,306, is 1.

Now, the common factors can be found like this.

734:2x 367

767:13x 59

146:2x 73

730:2x 5x 73

306:2x 3x 3x 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 73 = 584

Therefore, the value for common factors is 584.

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 = 18360671743440/(1x584)

LCM = 18360671743440/584

LCM = 31439506410

Thus, we can understand that the LCM of 734,767,146,730,306 is 31439506410.

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

• LCM of 743, 330, 138, 501, 147
• LCM of 283, 376, 166, 885, 554
• LCM of 926, 527, 403, 105, 805
• LCM of 349, 411, 502, 522, 740
• LCM of 374, 271, 381, 834, 408

1. What is the LCM of 734, 767, 146, 730, 306?

Answer: LCM of 734, 767, 146, 730, 306 is 31439506410.

2. How to calculate the LCM of 734, 767, 146, 730, 306?

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 734, 767, 146, 730, 306.

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}.