Given numbers are 468,574,211,362,542

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

The LCM of 468,574,211,362,542 is 1390138498476.

Find LCM of 468,574,211,362,542 with Prime Factorization

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

2 x 234 x 287 x 211 x 181 x 271 = 1390138498476

Therefore, the lowest common multiple of 468,574,211,362,542 is 1390138498476.

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.

468 x 574 x 211 x 362 x 542 = 11121107987808

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

574 : 1, 2, 7, 14, 41, 82, 287, 574

211 : 1, 211

362 : 1, 2, 181, 362

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,574,211,362,542, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

574:2x 7x 41

211:211

362:2x 181

542:2x 271

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11121107987808/(1x8)

LCM = 11121107987808/8

LCM = 1390138498476

Thus, we can understand that the LCM of 468,574,211,362,542 is 1390138498476.

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

• LCM of 474, 355, 243, 242, 658
• LCM of 628, 339, 955, 885, 386
• LCM of 467, 171, 388, 473, 462
• LCM of 272, 824, 161, 941, 805
• LCM of 675, 899, 695, 765, 989

1. What is the LCM of 468, 574, 211, 362, 542?

Answer: LCM of 468, 574, 211, 362, 542 is 1390138498476.

2. How to calculate the LCM of 468, 574, 211, 362, 542?

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 468, 574, 211, 362, 542.

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}.