Given numbers are 234,120,891,307,530

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

The LCM of 234,120,891,307,530 is 7538679720.

Find LCM of 234,120,891,307,530 with Prime Factorization

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

2 x 3 x 3 x 5 x 13 x 4 x 99 x 307 x 53 = 7538679720

Therefore, the lowest common multiple of 234,120,891,307,530 is 7538679720.

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.

234 x 120 x 891 x 307 x 530 = 4070887048800

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

307 : 1, 307

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,120,891,307,530, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

120:2x 2x 2x 3x 5

891:3x 3x 3x 3x 11

307:307

530:2x 5x 53

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 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 4070887048800/(1x540)

LCM = 4070887048800/540

LCM = 7538679720

Thus, we can understand that the LCM of 234,120,891,307,530 is 7538679720.

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

• LCM of 302, 496, 408, 660, 452
• LCM of 195, 608, 156, 211, 338
• LCM of 327, 396, 746, 140, 216
• LCM of 545, 949, 533, 343, 664
• LCM of 811, 644, 713, 720, 740

1. What is the LCM of 234, 120, 891, 307, 530?

Answer: LCM of 234, 120, 891, 307, 530 is 7538679720.

2. How to calculate the LCM of 234, 120, 891, 307, 530?

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 234, 120, 891, 307, 530.

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}.