Given numbers are 553,323,812,404,742

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

The LCM of 553,323,812,404,742 is 110913110812.

Find LCM of 553,323,812,404,742 with Prime Factorization

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

2 x 2 x 7 x 79 x 323 x 29 x 101 x 53 = 110913110812

Therefore, the lowest common multiple of 553,323,812,404,742 is 110913110812.

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.

553 x 323 x 812 x 404 x 742 = 43477939438304

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.

553 : 1, 7, 79, 553

323 : 1, 17, 19, 323

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

404 : 1, 2, 4, 101, 202, 404

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 553,323,812,404,742, is 1.

Now, the common factors can be found like this.

553:7x 79

323:17x 19

812:2x 2x 7x 29

404:2x 2x 101

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 2x 2x 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 43477939438304/(1x392)

LCM = 43477939438304/392

LCM = 110913110812

Thus, we can understand that the LCM of 553,323,812,404,742 is 110913110812.

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

• LCM of 263, 996, 845, 848, 289
• LCM of 863, 145, 931, 158, 977
• LCM of 694, 568, 540, 520, 193
• LCM of 294, 952, 426, 362, 209
• LCM of 213, 142, 640, 454, 289

1. What is the LCM of 553, 323, 812, 404, 742?

Answer: LCM of 553, 323, 812, 404, 742 is 110913110812.

2. How to calculate the LCM of 553, 323, 812, 404, 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 553, 323, 812, 404, 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}.