Given numbers are 561,514,338,742

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

The LCM of 561,514,338,742 is 18079507446.

Find LCM of 561,514,338,742 with Prime Factorization

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

2 x 561 x 257 x 169 x 371 = 18079507446

Therefore, the lowest common multiple of 561,514,338,742 is 18079507446.

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 514 x 338 x 742 = 72318029784

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

514 : 1, 2, 257, 514

338 : 1, 2, 13, 26, 169, 338

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,514,338,742, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

514:2x 257

338:2x 13x 13

742:2x 7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 72318029784/(1x4)

LCM = 72318029784/4

LCM = 18079507446

Thus, we can understand that the LCM of 561,514,338,742 is 18079507446.

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

• LCM of 503, 485, 889, 334
• LCM of 954, 484, 568, 415
• LCM of 970, 180, 822, 788
• LCM of 505, 167, 325, 292
• LCM of 705, 106, 803, 831

1. What is the LCM of 561, 514, 338, 742?

Answer: LCM of 561, 514, 338, 742 is 18079507446.

2. How to calculate the LCM of 561, 514, 338, 742?

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, 514, 338, 742.

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}.