Given numbers are 709,966,971,198

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

The LCM of 709,966,971,198 is 21946058442.

Find LCM of 709,966,971,198 with Prime Factorization

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

2 x 3 x 709 x 161 x 971 x 33 = 21946058442

Therefore, the lowest common multiple of 709,966,971,198 is 21946058442.

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.

709 x 966 x 971 x 198 = 131676350652

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.

709 : 1, 709

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

971 : 1, 971

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,966,971,198, is 1.

Now, the common factors can be found like this.

709:709

966:2x 3x 7x 23

971:971

198:2x 3x 3x 11

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 131676350652/(1x6)

LCM = 131676350652/6

LCM = 21946058442

Thus, we can understand that the LCM of 709,966,971,198 is 21946058442.

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

• LCM of 462, 811, 900, 556
• LCM of 825, 731, 100, 260
• LCM of 710, 455, 148, 873
• LCM of 585, 280, 510, 123
• LCM of 396, 898, 234, 195

1. What is the LCM of 709, 966, 971, 198?

Answer: LCM of 709, 966, 971, 198 is 21946058442.

2. How to calculate the LCM of 709, 966, 971, 198?

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 709, 966, 971, 198.

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}.