Given numbers are 346,495,912,507,106

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

The LCM of 346,495,912,507,106 is 233177939280.

Find LCM of 346,495,912,507,106 with Prime Factorization

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

2 x 3 x 173 x 165 x 152 x 169 x 53 = 233177939280

Therefore, the lowest common multiple of 346,495,912,507,106 is 233177939280.

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.

346 x 495 x 912 x 507 x 106 = 8394405814080

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.

346 : 1, 2, 173, 346

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,495,912,507,106, is 1.

Now, the common factors can be found like this.

346:2x 173

495:3x 3x 5x 11

912:2x 2x 2x 2x 3x 19

507:3x 13x 13

106:2x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 8394405814080/(1x36)

LCM = 8394405814080/36

LCM = 233177939280

Thus, we can understand that the LCM of 346,495,912,507,106 is 233177939280.

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

• LCM of 561, 887, 943, 820, 192
• LCM of 702, 303, 453, 500, 580
• LCM of 461, 606, 431, 439, 355
• LCM of 806, 196, 949, 904, 646
• LCM of 467, 213, 201, 333, 176

1. What is the LCM of 346, 495, 912, 507, 106?

Answer: LCM of 346, 495, 912, 507, 106 is 233177939280.

2. How to calculate the LCM of 346, 495, 912, 507, 106?

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 346, 495, 912, 507, 106.

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}.