Given numbers are 514,565,226,213

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

The LCM of 514,565,226,213 is 61857330.

Find LCM of 514,565,226,213 with Prime Factorization

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

2 x 113 x 257 x 5 x 1 x 213 = 61857330

Therefore, the lowest common multiple of 514,565,226,213 is 61857330.

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.

514 x 565 x 226 x 213 = 13979756580

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.

514 : 1, 2, 257, 514

565 : 1, 5, 113, 565

226 : 1, 2, 113, 226

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,565,226,213, is 1.

Now, the common factors can be found like this.

514:2x 257

565:5x 113

226:2x 113

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 113 = 226

Therefore, the value for common factors is 226.

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 = 13979756580/(1x226)

LCM = 13979756580/226

LCM = 61857330

Thus, we can understand that the LCM of 514,565,226,213 is 61857330.

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

• LCM of 543, 160, 460, 237
• LCM of 471, 838, 280, 316
• LCM of 715, 609, 567, 434
• LCM of 763, 245, 383, 290
• LCM of 778, 494, 712, 273

1. What is the LCM of 514, 565, 226, 213?

Answer: LCM of 514, 565, 226, 213 is 61857330.

2. How to calculate the LCM of 514, 565, 226, 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 514, 565, 226, 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}.