Given numbers are 743,217,952,214

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

The LCM of 743,217,952,214 is 2346233512.

Find LCM of 743,217,952,214 with Prime Factorization

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

2 x 7 x 743 x 31 x 68 x 107 = 2346233512

Therefore, the lowest common multiple of 743,217,952,214 is 2346233512.

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.

743 x 217 x 952 x 214 = 32847269168

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.

743 : 1, 743

217 : 1, 7, 31, 217

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,217,952,214, is 1.

Now, the common factors can be found like this.

743:743

217:7x 31

952:2x 2x 2x 7x 17

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 7 = 14

Therefore, the value for common factors is 14.

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 = 32847269168/(1x14)

LCM = 32847269168/14

LCM = 2346233512

Thus, we can understand that the LCM of 743,217,952,214 is 2346233512.

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

• LCM of 552, 346, 728, 891
• LCM of 332, 800, 552, 968
• LCM of 778, 782, 559, 510
• LCM of 618, 799, 967, 731
• LCM of 391, 502, 512, 285

1. What is the LCM of 743, 217, 952, 214?

Answer: LCM of 743, 217, 952, 214 is 2346233512.

2. How to calculate the LCM of 743, 217, 952, 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 743, 217, 952, 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}.