Given numbers are 561,198,689,679

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

The LCM of 561,198,689,679 is 1574719146.

Find LCM of 561,198,689,679 with Prime Factorization

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

3 x 11 x 17 x 6 x 689 x 679 = 1574719146

Therefore, the lowest common multiple of 561,198,689,679 is 1574719146.

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.

561 x 198 x 689 x 679 = 51965731818

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

689 : 1, 13, 53, 689

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,198,689,679, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

198:2x 3x 3x 11

689:13x 53

679:7x 97

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 51965731818/(1x33)

LCM = 51965731818/33

LCM = 1574719146

Thus, we can understand that the LCM of 561,198,689,679 is 1574719146.

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

• LCM of 753, 710, 290, 221
• LCM of 792, 866, 942, 703
• LCM of 899, 729, 780, 698
• LCM of 687, 633, 386, 357
• LCM of 218, 585, 921, 155

1. What is the LCM of 561, 198, 689, 679?

Answer: LCM of 561, 198, 689, 679 is 1574719146.

2. How to calculate the LCM of 561, 198, 689, 679?

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 561, 198, 689, 679.

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}.