Given numbers are 698,213,284

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

The LCM of 698,213,284 is 297348.

Find LCM of 698,213,284 with Prime Factorization

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

2 x 71 x 349 x 3 x 2 = 297348

Therefore, the lowest common multiple of 698,213,284 is 297348.

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.

698 x 213 x 284 = 42223416

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.

698 : 1, 2, 349, 698

213 : 1, 3, 71, 213

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,213,284, is 1.

Now, the common factors can be found like this.

698:2x 349

213:3x 71

284:2x 2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 42223416/(1x142)

LCM = 42223416/142

LCM = 297348

Thus, we can understand that the LCM of 698,213,284 is 297348.

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

• LCM of 203, 406, 695
• LCM of 736, 469, 841
• LCM of 129, 991, 713
• LCM of 972, 222, 715
• LCM of 230, 373, 843

1. What is the LCM of 698, 213, 284?

Answer: LCM of 698, 213, 284 is 297348.

2. How to calculate the LCM of 698, 213, 284?

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 698, 213, 284.

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}.