Given numbers are 706,948,974,993,201

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

The LCM of 706,948,974,993,201 is 3614221794156.

Find LCM of 706,948,974,993,201 with Prime Factorization

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

2 x 3 x 353 x 158 x 487 x 331 x 67 = 3614221794156

Therefore, the lowest common multiple of 706,948,974,993,201 is 3614221794156.

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.

706 x 948 x 974 x 993 x 201 = 130111984589616

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.

706 : 1, 2, 353, 706

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

974 : 1, 2, 487, 974

993 : 1, 3, 331, 993

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,948,974,993,201, is 1.

Now, the common factors can be found like this.

706:2x 353

948:2x 2x 3x 79

974:2x 487

993:3x 331

201:3x 67

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 = 130111984589616/(1x36)

LCM = 130111984589616/36

LCM = 3614221794156

Thus, we can understand that the LCM of 706,948,974,993,201 is 3614221794156.

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

• LCM of 342, 706, 856, 388, 437
• LCM of 845, 260, 882, 508, 131
• LCM of 438, 132, 523, 473, 460
• LCM of 479, 628, 562, 357, 878
• LCM of 735, 293, 146, 995, 138

1. What is the LCM of 706, 948, 974, 993, 201?

Answer: LCM of 706, 948, 974, 993, 201 is 3614221794156.

2. How to calculate the LCM of 706, 948, 974, 993, 201?

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 706, 948, 974, 993, 201.

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}.