Given numbers are 728,780,283,548

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

The LCM of 728,780,283,548 is 423379320.

Find LCM of 728,780,283,548 with Prime Factorization

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

2 x 2 x 13 x 14 x 15 x 283 x 137 = 423379320

Therefore, the lowest common multiple of 728,780,283,548 is 423379320.

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 780 x 283 x 548 = 88062898560

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

283 : 1, 283

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,780,283,548, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

780:2x 2x 3x 5x 13

283:283

548:2x 2x 137

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 13 = 208

Therefore, the value for common factors is 208.

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 = 88062898560/(1x208)

LCM = 88062898560/208

LCM = 423379320

Thus, we can understand that the LCM of 728,780,283,548 is 423379320.

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

• LCM of 802, 605, 197, 510
• LCM of 292, 979, 725, 316
• LCM of 149, 719, 432, 950
• LCM of 673, 832, 876, 232
• LCM of 672, 887, 853, 383

1. What is the LCM of 728, 780, 283, 548?

Answer: LCM of 728, 780, 283, 548 is 423379320.

2. How to calculate the LCM of 728, 780, 283, 548?

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, 780, 283, 548.

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}.