Given numbers are 327,420,236,552,619

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

The LCM of 327,420,236,552,619 is 76908843480.

Find LCM of 327,420,236,552,619 with Prime Factorization

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

2 x 2 x 3 x 109 x 35 x 59 x 46 x 619 = 76908843480

Therefore, the lowest common multiple of 327,420,236,552,619 is 76908843480.

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.

327 x 420 x 236 x 552 x 619 = 11074873461120

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.

327 : 1, 3, 109, 327

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

236 : 1, 2, 4, 59, 118, 236

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

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,420,236,552,619, is 1.

Now, the common factors can be found like this.

327:3x 109

420:2x 2x 3x 5x 7

236:2x 2x 59

552:2x 2x 2x 3x 23

619:619

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 3 = 144

Therefore, the value for common factors is 144.

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 = 11074873461120/(1x144)

LCM = 11074873461120/144

LCM = 76908843480

Thus, we can understand that the LCM of 327,420,236,552,619 is 76908843480.

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

• LCM of 809, 306, 892, 882, 335
• LCM of 836, 339, 181, 356, 122
• LCM of 302, 584, 478, 322, 125
• LCM of 766, 726, 459, 392, 182
• LCM of 519, 211, 675, 261, 436

1. What is the LCM of 327, 420, 236, 552, 619?

Answer: LCM of 327, 420, 236, 552, 619 is 76908843480.

2. How to calculate the LCM of 327, 420, 236, 552, 619?

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 327, 420, 236, 552, 619.

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}.