Given numbers are 290,552,335,720,542

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

The LCM of 290,552,335,720,542 is 8719717680.

Find LCM of 290,552,335,720,542 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 29 x 23 x 67 x 6 x 271 = 8719717680

Therefore, the lowest common multiple of 290,552,335,720,542 is 8719717680.

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.

290 x 552 x 335 x 720 x 542 = 20927322432000

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

335 : 1, 5, 67, 335

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,552,335,720,542, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

552:2x 2x 2x 3x 23

335:5x 67

720:2x 2x 2x 2x 3x 3x 5

542:2x 271

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 20927322432000/(1x2400)

LCM = 20927322432000/2400

LCM = 8719717680

Thus, we can understand that the LCM of 290,552,335,720,542 is 8719717680.

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

• LCM of 412, 100, 350, 393, 894
• LCM of 403, 537, 740, 905, 156
• LCM of 204, 434, 725, 329, 795
• LCM of 153, 298, 126, 582, 906
• LCM of 820, 399, 532, 845, 569

1. What is the LCM of 290, 552, 335, 720, 542?

Answer: LCM of 290, 552, 335, 720, 542 is 8719717680.

2. How to calculate the LCM of 290, 552, 335, 720, 542?

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 290, 552, 335, 720, 542.

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}.