Given numbers are 678,956,498,129,507

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

The LCM of 678,956,498,129,507 is 195474829524.

Find LCM of 678,956,498,129,507 with Prime Factorization

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

2 x 3 x 113 x 478 x 83 x 43 x 169 = 195474829524

Therefore, the lowest common multiple of 678,956,498,129,507 is 195474829524.

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.

678 x 956 x 498 x 129 x 507 = 21111281588592

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

956 : 1, 2, 4, 239, 478, 956

498 : 1, 2, 3, 6, 83, 166, 249, 498

129 : 1, 3, 43, 129

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,956,498,129,507, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

956:2x 2x 239

498:2x 3x 83

129:3x 43

507:3x 13x 13

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 = 21111281588592/(1x108)

LCM = 21111281588592/108

LCM = 195474829524

Thus, we can understand that the LCM of 678,956,498,129,507 is 195474829524.

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

• LCM of 283, 829, 243, 541, 776
• LCM of 942, 862, 747, 746, 999
• LCM of 190, 572, 683, 444, 914
• LCM of 465, 963, 782, 976, 772
• LCM of 353, 447, 611, 253, 137

1. What is the LCM of 678, 956, 498, 129, 507?

Answer: LCM of 678, 956, 498, 129, 507 is 195474829524.

2. How to calculate the LCM of 678, 956, 498, 129, 507?

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 678, 956, 498, 129, 507.

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}.