Given numbers are 524,414,298,213

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

The LCM of 524,414,298,213 is 1147482972.

Find LCM of 524,414,298,213 with Prime Factorization

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

2 x 3 x 262 x 69 x 149 x 71 = 1147482972

Therefore, the lowest common multiple of 524,414,298,213 is 1147482972.

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.

524 x 414 x 298 x 213 = 13769795664

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.

524 : 1, 2, 4, 131, 262, 524

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

298 : 1, 2, 149, 298

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,414,298,213, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

414:2x 3x 3x 23

298:2x 149

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.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 13769795664/(1x12)

LCM = 13769795664/12

LCM = 1147482972

Thus, we can understand that the LCM of 524,414,298,213 is 1147482972.

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

• LCM of 364, 422, 910, 489
• LCM of 772, 438, 586, 780
• LCM of 198, 456, 297, 819
• LCM of 372, 645, 262, 269
• LCM of 831, 195, 860, 515

1. What is the LCM of 524, 414, 298, 213?

Answer: LCM of 524, 414, 298, 213 is 1147482972.

2. How to calculate the LCM of 524, 414, 298, 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 524, 414, 298, 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}.