Given numbers are 782,988,745,540

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

The LCM of 782,988,745,540 is 7770585420.

Find LCM of 782,988,745,540 with Prime Factorization

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

2 x 2 x 5 x 391 x 247 x 149 x 27 = 7770585420

Therefore, the lowest common multiple of 782,988,745,540 is 7770585420.

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.

782 x 988 x 745 x 540 = 310823416800

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

745 : 1, 5, 149, 745

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,988,745,540, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

988:2x 2x 13x 19

745:5x 149

540:2x 2x 3x 3x 3x 5

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 5 = 40

Therefore, the value for common factors is 40.

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 = 310823416800/(1x40)

LCM = 310823416800/40

LCM = 7770585420

Thus, we can understand that the LCM of 782,988,745,540 is 7770585420.

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

• LCM of 662, 635, 783, 214
• LCM of 137, 779, 888, 120
• LCM of 728, 728, 269, 774
• LCM of 557, 669, 979, 515
• LCM of 645, 408, 600, 609

1. What is the LCM of 782, 988, 745, 540?

Answer: LCM of 782, 988, 745, 540 is 7770585420.

2. How to calculate the LCM of 782, 988, 745, 540?

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 782, 988, 745, 540.

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}.