Given numbers are 561,188,154,353

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

The LCM of 561,188,154,353 is 260611428.

Find LCM of 561,188,154,353 with Prime Factorization

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

2 x 11 x 51 x 94 x 7 x 353 = 260611428

Therefore, the lowest common multiple of 561,188,154,353 is 260611428.

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 188 x 154 x 353 = 5733451416

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

188 : 1, 2, 4, 47, 94, 188

154 : 1, 2, 7, 11, 14, 22, 77, 154

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,188,154,353, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

188:2x 2x 47

154:2x 7x 11

353:353

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 5733451416/(1x22)

LCM = 5733451416/22

LCM = 260611428

Thus, we can understand that the LCM of 561,188,154,353 is 260611428.

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

• LCM of 113, 332, 391, 987
• LCM of 437, 979, 931, 438
• LCM of 708, 515, 965, 249
• LCM of 765, 630, 569, 882
• LCM of 447, 386, 500, 662

1. What is the LCM of 561, 188, 154, 353?

Answer: LCM of 561, 188, 154, 353 is 260611428.

2. How to calculate the LCM of 561, 188, 154, 353?

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, 188, 154, 353.

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}.