Given numbers are 402,149,948,968,696

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

The LCM of 402,149,948,968,696 is 66417537912.

Find LCM of 402,149,948,968,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 149 x 79 x 121 x 29 = 66417537912

Therefore, the lowest common multiple of 402,149,948,968,696 is 66417537912.

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.

402 x 149 x 948 x 968 x 696 = 38256501837312

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

149 : 1, 149

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,149,948,968,696, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

149:149

948:2x 2x 3x 79

968:2x 2x 2x 11x 11

696:2x 2x 2x 3x 29

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 38256501837312/(1x576)

LCM = 38256501837312/576

LCM = 66417537912

Thus, we can understand that the LCM of 402,149,948,968,696 is 66417537912.

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

• LCM of 916, 622, 769, 571, 544
• LCM of 220, 126, 682, 414, 820
• LCM of 529, 480, 514, 771, 667
• LCM of 903, 379, 235, 773, 497
• LCM of 155, 295, 115, 169, 368

1. What is the LCM of 402, 149, 948, 968, 696?

Answer: LCM of 402, 149, 948, 968, 696 is 66417537912.

2. How to calculate the LCM of 402, 149, 948, 968, 696?

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 402, 149, 948, 968, 696.

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}.