Given numbers are 728,920,649,438

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

The LCM of 728,920,649,438 is 11899207320.

Find LCM of 728,920,649,438 with Prime Factorization

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

2 x 2 x 2 x 91 x 115 x 649 x 219 = 11899207320

Therefore, the lowest common multiple of 728,920,649,438 is 11899207320.

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.

728 x 920 x 649 x 438 = 190387317120

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.

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

649 : 1, 11, 59, 649

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,920,649,438, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

920:2x 2x 2x 5x 23

649:11x 59

438:2x 3x 73

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 2 = 16

Therefore, the value for common factors is 16.

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 = 190387317120/(1x16)

LCM = 190387317120/16

LCM = 11899207320

Thus, we can understand that the LCM of 728,920,649,438 is 11899207320.

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

• LCM of 439, 157, 935, 763
• LCM of 802, 809, 167, 222
• LCM of 548, 541, 918, 582
• LCM of 940, 540, 691, 937
• LCM of 911, 327, 337, 587

1. What is the LCM of 728, 920, 649, 438?

Answer: LCM of 728, 920, 649, 438 is 11899207320.

2. How to calculate the LCM of 728, 920, 649, 438?

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 728, 920, 649, 438.

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}.