Given numbers are 234,507,197,345

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

The LCM of 234,507,197,345 is 68916510.

Find LCM of 234,507,197,345 with Prime Factorization

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

3 x 13 x 6 x 13 x 197 x 115 = 68916510

Therefore, the lowest common multiple of 234,507,197,345 is 68916510.

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 507 x 197 x 345 = 8063231670

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

507 : 1, 3, 13, 39, 169, 507

197 : 1, 197

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,507,197,345, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

507:3x 13x 13

197:197

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 8063231670/(1x117)

LCM = 8063231670/117

LCM = 68916510

Thus, we can understand that the LCM of 234,507,197,345 is 68916510.

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

• LCM of 515, 104, 389, 985
• LCM of 179, 487, 946, 228
• LCM of 151, 820, 514, 931
• LCM of 103, 699, 699, 491
• LCM of 902, 846, 710, 476

1. What is the LCM of 234, 507, 197, 345?

Answer: LCM of 234, 507, 197, 345 is 68916510.

2. How to calculate the LCM of 234, 507, 197, 345?

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, 507, 197, 345.

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}.