Given numbers are 986,213,122,414,698

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

The LCM of 986,213,122,414,698 is 308504050938.

Find LCM of 986,213,122,414,698 with Prime Factorization

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

2 x 3 x 493 x 71 x 61 x 69 x 349 = 308504050938

Therefore, the lowest common multiple of 986,213,122,414,698 is 308504050938.

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.

986 x 213 x 122 x 414 x 698 = 7404097222512

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

213 : 1, 3, 71, 213

122 : 1, 2, 61, 122

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,213,122,414,698, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

213:3x 71

122:2x 61

414:2x 3x 3x 23

698:2x 349

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7404097222512/(1x24)

LCM = 7404097222512/24

LCM = 308504050938

Thus, we can understand that the LCM of 986,213,122,414,698 is 308504050938.

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

• LCM of 998, 223, 469, 723, 895
• LCM of 114, 319, 939, 335, 851
• LCM of 945, 983, 108, 728, 923
• LCM of 318, 828, 450, 563, 561
• LCM of 110, 250, 584, 387, 445

1. What is the LCM of 986, 213, 122, 414, 698?

Answer: LCM of 986, 213, 122, 414, 698 is 308504050938.

2. How to calculate the LCM of 986, 213, 122, 414, 698?

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 986, 213, 122, 414, 698.

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}.