Given numbers are 756,284,989,772,736

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

The LCM of 756,284,989,772,736 is 81964110816.

Find LCM of 756,284,989,772,736 with Prime Factorization

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

2 x 2 x 23 x 189 x 71 x 43 x 193 x 8 = 81964110816

Therefore, the lowest common multiple of 756,284,989,772,736 is 81964110816.

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 284 x 989 x 772 x 736 = 120651171121152

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

284 : 1, 2, 4, 71, 142, 284

989 : 1, 23, 43, 989

772 : 1, 2, 4, 193, 386, 772

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,284,989,772,736, is 1.

Now, the common factors can be found like this.

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

284:2x 2x 71

989:23x 43

772:2x 2x 193

736:2x 2x 2x 2x 2x 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 2x 2x 2x 23 = 1472

Therefore, the value for common factors is 1472.

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 = 120651171121152/(1x1472)

LCM = 120651171121152/1472

LCM = 81964110816

Thus, we can understand that the LCM of 756,284,989,772,736 is 81964110816.

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

• LCM of 521, 867, 123, 170, 484
• LCM of 454, 582, 123, 399, 805
• LCM of 974, 619, 313, 801, 646
• LCM of 799, 832, 874, 514, 583
• LCM of 539, 556, 510, 849, 589

1. What is the LCM of 756, 284, 989, 772, 736?

Answer: LCM of 756, 284, 989, 772, 736 is 81964110816.

2. How to calculate the LCM of 756, 284, 989, 772, 736?

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, 284, 989, 772, 736.

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}.