Given numbers are 561,389,286,949

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

The LCM of 561,389,286,949 is 414198642.

Find LCM of 561,389,286,949 with Prime Factorization

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

11 x 13 x 51 x 389 x 2 x 73 = 414198642

Therefore, the lowest common multiple of 561,389,286,949 is 414198642.

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 389 x 286 x 949 = 59230405806

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

389 : 1, 389

286 : 1, 2, 11, 13, 22, 26, 143, 286

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,389,286,949, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

389:389

286:2x 11x 13

949:13x 73

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 59230405806/(1x143)

LCM = 59230405806/143

LCM = 414198642

Thus, we can understand that the LCM of 561,389,286,949 is 414198642.

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

• LCM of 959, 225, 765, 138
• LCM of 916, 693, 928, 931
• LCM of 122, 160, 429, 896
• LCM of 767, 105, 615, 744
• LCM of 777, 870, 914, 963

1. What is the LCM of 561, 389, 286, 949?

Answer: LCM of 561, 389, 286, 949 is 414198642.

2. How to calculate the LCM of 561, 389, 286, 949?

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, 389, 286, 949.

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}.