Given numbers are 756,538,730

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

The LCM of 756,538,730 is 74227860.

Find LCM of 756,538,730 with Prime Factorization

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

2 x 378 x 269 x 365 = 74227860

Therefore, the lowest common multiple of 756,538,730 is 74227860.

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.

756 x 538 x 730 = 296911440

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.

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

538 : 1, 2, 269, 538

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,538,730, is 2.

Now, the common factors can be found like this.

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

538:2x 269

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 = 296911440/(2x2)

LCM = 296911440/4

LCM = 74227860

Thus, we can understand that the LCM of 756,538,730 is 74227860.

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

• LCM of 429, 346, 432
• LCM of 587, 283, 217
• LCM of 770, 793, 168
• LCM of 416, 514, 392
• LCM of 487, 796, 946

1. What is the LCM of 756, 538, 730?

Answer: LCM of 756, 538, 730 is 74227860.

2. How to calculate the LCM of 756, 538, 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 756, 538, 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}.