Given numbers are 736,528,104,393,676

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

The LCM of 736,528,104,393,676 is 537712032.

Find LCM of 736,528,104,393,676 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 46 x 11 x 1 x 131 x 13 = 537712032

Therefore, the lowest common multiple of 736,528,104,393,676 is 537712032.

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.

736 x 528 x 104 x 393 x 676 = 10737033854976

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

104 : 1, 2, 4, 8, 13, 26, 52, 104

393 : 1, 3, 131, 393

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,528,104,393,676, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

528:2x 2x 2x 2x 3x 11

104:2x 2x 2x 13

393:3x 131

676:2x 2x 13x 13

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 2x 2x 2x 3x 13 = 19968

Therefore, the value for common factors is 19968.

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 = 10737033854976/(1x19968)

LCM = 10737033854976/19968

LCM = 537712032

Thus, we can understand that the LCM of 736,528,104,393,676 is 537712032.

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

• LCM of 140, 143, 988, 749, 593
• LCM of 464, 957, 882, 793, 245
• LCM of 166, 816, 685, 898, 632
• LCM of 118, 325, 384, 204, 577
• LCM of 741, 562, 265, 963, 280

1. What is the LCM of 736, 528, 104, 393, 676?

Answer: LCM of 736, 528, 104, 393, 676 is 537712032.

2. How to calculate the LCM of 736, 528, 104, 393, 676?

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 736, 528, 104, 393, 676.

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}.