Given numbers are 728,478,978

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

The LCM of 728,478,978 is 85082088.

Find LCM of 728,478,978 with Prime Factorization

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

2 x 364 x 239 x 489 = 85082088

Therefore, the lowest common multiple of 728,478,978 is 85082088.

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 478 x 978 = 340328352

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

478 : 1, 2, 239, 478

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,478,978, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

478:2x 239

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 340328352/(2x2)

LCM = 340328352/4

LCM = 85082088

Thus, we can understand that the LCM of 728,478,978 is 85082088.

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

• LCM of 144, 729, 685
• LCM of 404, 511, 717
• LCM of 221, 982, 164
• LCM of 891, 352, 622
• LCM of 410, 274, 417

1. What is the LCM of 728, 478, 978?

Answer: LCM of 728, 478, 978 is 85082088.

2. How to calculate the LCM of 728, 478, 978?

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, 478, 978.

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}.