Given numbers are 756,723,508,230

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

The LCM of 756,723,508,230 is 2660972580.

Find LCM of 756,723,508,230 with Prime Factorization

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

2 x 2 x 3 x 63 x 241 x 127 x 115 = 2660972580

Therefore, the lowest common multiple of 756,723,508,230 is 2660972580.

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 723 x 508 x 230 = 63863341920

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

723 : 1, 3, 241, 723

508 : 1, 2, 4, 127, 254, 508

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,723,508,230, is 1.

Now, the common factors can be found like this.

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

723:3x 241

508:2x 2x 127

230:2x 5x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 63863341920/(1x24)

LCM = 63863341920/24

LCM = 2660972580

Thus, we can understand that the LCM of 756,723,508,230 is 2660972580.

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

• LCM of 212, 667, 132, 832
• LCM of 249, 204, 321, 627
• LCM of 405, 780, 936, 363
• LCM of 657, 498, 547, 947
• LCM of 548, 677, 173, 582

1. What is the LCM of 756, 723, 508, 230?

Answer: LCM of 756, 723, 508, 230 is 2660972580.

2. How to calculate the LCM of 756, 723, 508, 230?

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, 723, 508, 230.

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}.