Given numbers are 409,756,730

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

The LCM of 409,756,730 is 112859460.

Find LCM of 409,756,730 with Prime Factorization

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

2 x 409 x 378 x 365 = 112859460

Therefore, the lowest common multiple of 409,756,730 is 112859460.

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.

409 x 756 x 730 = 225718920

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.

409 : 1, 409

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,756,730, is 1.

Now, the common factors can be found like this.

409:409

756:2x 2x 3x 3x 3x 7

730:2x 5x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 225718920/(1x2)

LCM = 225718920/2

LCM = 112859460

Thus, we can understand that the LCM of 409,756,730 is 112859460.

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

• LCM of 586, 983, 139
• LCM of 195, 641, 526
• LCM of 332, 939, 929
• LCM of 946, 680, 512
• LCM of 991, 998, 746

1. What is the LCM of 409, 756, 730?

Answer: LCM of 409, 756, 730 is 112859460.

2. How to calculate the LCM of 409, 756, 730?

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 409, 756, 730.

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}.