Given numbers are 560,542,278,475,120

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

The LCM of 560,542,278,475,120 is 6011972400.

Find LCM of 560,542,278,475,120 with Prime Factorization

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

2 x 2 x 2 x 5 x 14 x 271 x 139 x 95 x 3 = 6011972400

Therefore, the lowest common multiple of 560,542,278,475,120 is 6011972400.

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.

560 x 542 x 278 x 475 x 120 = 4809577920000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

542 : 1, 2, 271, 542

278 : 1, 2, 139, 278

475 : 1, 5, 19, 25, 95, 475

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,542,278,475,120, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

542:2x 271

278:2x 139

475:5x 5x 19

120:2x 2x 2x 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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 4809577920000/(1x800)

LCM = 4809577920000/800

LCM = 6011972400

Thus, we can understand that the LCM of 560,542,278,475,120 is 6011972400.

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

• LCM of 656, 233, 694, 780, 594
• LCM of 977, 155, 297, 238, 389
• LCM of 899, 671, 694, 507, 287
• LCM of 304, 600, 496, 748, 532
• LCM of 634, 375, 101, 573, 180

1. What is the LCM of 560, 542, 278, 475, 120?

Answer: LCM of 560, 542, 278, 475, 120 is 6011972400.

2. How to calculate the LCM of 560, 542, 278, 475, 120?

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 560, 542, 278, 475, 120.

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}.