Given numbers are 692,431,339,507,213

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

The LCM of 692,431,339,507,213 is 1213188028572.

Find LCM of 692,431,339,507,213 with Prime Factorization

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

3 x 692 x 431 x 113 x 169 x 71 = 1213188028572

Therefore, the lowest common multiple of 692,431,339,507,213 is 1213188028572.

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.

692 x 431 x 339 x 507 x 213 = 10918692257148

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.

692 : 1, 2, 4, 173, 346, 692

431 : 1, 431

339 : 1, 3, 113, 339

507 : 1, 3, 13, 39, 169, 507

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,431,339,507,213, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

431:431

339:3x 113

507:3x 13x 13

213:3x 71

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 10918692257148/(1x9)

LCM = 10918692257148/9

LCM = 1213188028572

Thus, we can understand that the LCM of 692,431,339,507,213 is 1213188028572.

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

• LCM of 130, 649, 271, 944, 432
• LCM of 302, 745, 921, 565, 406
• LCM of 186, 278, 670, 516, 253
• LCM of 378, 602, 471, 984, 788
• LCM of 662, 474, 384, 311, 898

1. What is the LCM of 692, 431, 339, 507, 213?

Answer: LCM of 692, 431, 339, 507, 213 is 1213188028572.

2. How to calculate the LCM of 692, 431, 339, 507, 213?

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 692, 431, 339, 507, 213.

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}.