Given numbers are 642,270,327,229,552

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

The LCM of 642,270,327,229,552 is 66343342680.

Find LCM of 642,270,327,229,552 with Prime Factorization

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

2 x 3 x 107 x 45 x 109 x 229 x 92 = 66343342680

Therefore, the lowest common multiple of 642,270,327,229,552 is 66343342680.

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.

642 x 270 x 327 x 229 x 552 = 7165081009440

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

327 : 1, 3, 109, 327

229 : 1, 229

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,270,327,229,552, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

270:2x 3x 3x 3x 5

327:3x 109

229:229

552:2x 2x 2x 3x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 7165081009440/(1x108)

LCM = 7165081009440/108

LCM = 66343342680

Thus, we can understand that the LCM of 642,270,327,229,552 is 66343342680.

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

• LCM of 693, 922, 354, 234, 914
• LCM of 260, 433, 680, 524, 457
• LCM of 238, 220, 494, 192, 882
• LCM of 637, 679, 793, 938, 371
• LCM of 306, 274, 927, 994, 993

1. What is the LCM of 642, 270, 327, 229, 552?

Answer: LCM of 642, 270, 327, 229, 552 is 66343342680.

2. How to calculate the LCM of 642, 270, 327, 229, 552?

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 642, 270, 327, 229, 552.

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}.