Given numbers are 670,209,985,690,408

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

The LCM of 670,209,985,690,408 is 129433089720.

Find LCM of 670,209,985,690,408 with Prime Factorization

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

2 x 3 x 5 x 67 x 209 x 197 x 23 x 68 = 129433089720

Therefore, the lowest common multiple of 670,209,985,690,408 is 129433089720.

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.

670 x 209 x 985 x 690 x 408 = 38829926916000

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

209 : 1, 11, 19, 209

985 : 1, 5, 197, 985

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,209,985,690,408, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

209:11x 19

985:5x 197

690:2x 3x 5x 23

408:2x 2x 2x 3x 17

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 38829926916000/(1x300)

LCM = 38829926916000/300

LCM = 129433089720

Thus, we can understand that the LCM of 670,209,985,690,408 is 129433089720.

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

• LCM of 235, 935, 424, 985, 193
• LCM of 665, 993, 704, 900, 598
• LCM of 164, 148, 217, 258, 789
• LCM of 704, 807, 472, 462, 175
• LCM of 133, 936, 643, 853, 977

1. What is the LCM of 670, 209, 985, 690, 408?

Answer: LCM of 670, 209, 985, 690, 408 is 129433089720.

2. How to calculate the LCM of 670, 209, 985, 690, 408?

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 670, 209, 985, 690, 408.

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}.