Given numbers are 561,201,169,194,974

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

The LCM of 561,201,169,194,974 is 600143435034.

Find LCM of 561,201,169,194,974 with Prime Factorization

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

2 x 3 x 187 x 67 x 169 x 97 x 487 = 600143435034

Therefore, the lowest common multiple of 561,201,169,194,974 is 600143435034.

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 201 x 169 x 194 x 974 = 3600860610204

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

201 : 1, 3, 67, 201

169 : 1, 13, 169

194 : 1, 2, 97, 194

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,201,169,194,974, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

201:3x 67

169:13x 13

194:2x 97

974:2x 487

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 = 3600860610204/(1x6)

LCM = 3600860610204/6

LCM = 600143435034

Thus, we can understand that the LCM of 561,201,169,194,974 is 600143435034.

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

• LCM of 404, 299, 213, 766, 525
• LCM of 946, 589, 269, 875, 636
• LCM of 687, 413, 946, 270, 108
• LCM of 277, 977, 150, 837, 176
• LCM of 412, 914, 851, 888, 989

1. What is the LCM of 561, 201, 169, 194, 974?

Answer: LCM of 561, 201, 169, 194, 974 is 600143435034.

2. How to calculate the LCM of 561, 201, 169, 194, 974?

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, 201, 169, 194, 974.

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}.