Given numbers are 780,348,706,540

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

The LCM of 780,348,706,540 is 71863740.

Find LCM of 780,348,706,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 29 x 353 x 9 = 71863740

Therefore, the lowest common multiple of 780,348,706,540 is 71863740.

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.

780 x 348 x 706 x 540 = 103483785600

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.

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

706 : 1, 2, 353, 706

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,348,706,540, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

348:2x 2x 3x 29

706:2x 353

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 103483785600/(2x720)

LCM = 103483785600/1440

LCM = 71863740

Thus, we can understand that the LCM of 780,348,706,540 is 71863740.

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

• LCM of 488, 568, 806, 426
• LCM of 814, 976, 180, 968
• LCM of 488, 554, 145, 390
• LCM of 800, 210, 490, 294
• LCM of 635, 727, 532, 652

1. What is the LCM of 780, 348, 706, 540?

Answer: LCM of 780, 348, 706, 540 is 71863740.

2. How to calculate the LCM of 780, 348, 706, 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 780, 348, 706, 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}.