Given numbers are 689,218,280

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

The LCM of 689,218,280 is 21028280.

Find LCM of 689,218,280 with Prime Factorization

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

2 x 689 x 109 x 140 = 21028280

Therefore, the lowest common multiple of 689,218,280 is 21028280.

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.

689 x 218 x 280 = 42056560

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.

689 : 1, 13, 53, 689

218 : 1, 2, 109, 218

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,218,280, is 1.

Now, the common factors can be found like this.

689:13x 53

218:2x 109

280:2x 2x 2x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 42056560/(1x2)

LCM = 42056560/2

LCM = 21028280

Thus, we can understand that the LCM of 689,218,280 is 21028280.

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

• LCM of 547, 871, 188
• LCM of 834, 676, 643
• LCM of 502, 717, 501
• LCM of 982, 180, 149
• LCM of 598, 921, 726

1. What is the LCM of 689, 218, 280?

Answer: LCM of 689, 218, 280 is 21028280.

2. How to calculate the LCM of 689, 218, 280?

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 689, 218, 280.

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}.