Given numbers are 743,880,438,338,728

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

The LCM of 743,880,438,338,728 is 169394905680.

Find LCM of 743,880,438,338,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 743 x 110 x 219 x 13 x 7 = 169394905680

Therefore, the lowest common multiple of 743,880,438,338,728 is 169394905680.

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.

743 x 880 x 438 x 338 x 728 = 70468280762880

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.

743 : 1, 743

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

438 : 1, 2, 3, 6, 73, 146, 219, 438

338 : 1, 2, 13, 26, 169, 338

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,880,438,338,728, is 1.

Now, the common factors can be found like this.

743:743

880:2x 2x 2x 2x 5x 11

438:2x 3x 73

338:2x 13x 13

728:2x 2x 2x 7x 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 13 = 416

Therefore, the value for common factors is 416.

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 = 70468280762880/(1x416)

LCM = 70468280762880/416

LCM = 169394905680

Thus, we can understand that the LCM of 743,880,438,338,728 is 169394905680.

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

• LCM of 404, 302, 556, 733, 136
• LCM of 343, 212, 645, 579, 546
• LCM of 142, 721, 364, 571, 834
• LCM of 854, 285, 369, 586, 507
• LCM of 655, 778, 856, 142, 709

1. What is the LCM of 743, 880, 438, 338, 728?

Answer: LCM of 743, 880, 438, 338, 728 is 169394905680.

2. How to calculate the LCM of 743, 880, 438, 338, 728?

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 743, 880, 438, 338, 728.

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}.