Given numbers are 948,602,517,214

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

The LCM of 948,602,517,214 is 15785166012.

Find LCM of 948,602,517,214 with Prime Factorization

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

2 x 474 x 301 x 517 x 107 = 15785166012

Therefore, the lowest common multiple of 948,602,517,214 is 15785166012.

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.

948 x 602 x 517 x 214 = 63140664048

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.

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

602 : 1, 2, 7, 14, 43, 86, 301, 602

517 : 1, 11, 47, 517

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,602,517,214, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

602:2x 7x 43

517:11x 47

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 63140664048/(1x4)

LCM = 63140664048/4

LCM = 15785166012

Thus, we can understand that the LCM of 948,602,517,214 is 15785166012.

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

• LCM of 474, 241, 706, 562
• LCM of 758, 741, 382, 692
• LCM of 682, 145, 833, 250
• LCM of 411, 296, 982, 968
• LCM of 731, 312, 784, 285

1. What is the LCM of 948, 602, 517, 214?

Answer: LCM of 948, 602, 517, 214 is 15785166012.

2. How to calculate the LCM of 948, 602, 517, 214?

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 948, 602, 517, 214.

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}.