Given numbers are 214,349,594,341

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

The LCM of 214,349,594,341 is 687634002.

Find LCM of 214,349,594,341 with Prime Factorization

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

2 x 11 x 107 x 349 x 27 x 31 = 687634002

Therefore, the lowest common multiple of 214,349,594,341 is 687634002.

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.

214 x 349 x 594 x 341 = 15127948044

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.

214 : 1, 2, 107, 214

349 : 1, 349

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,349,594,341, is 1.

Now, the common factors can be found like this.

214:2x 107

349:349

594:2x 3x 3x 3x 11

341:11x 31

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 15127948044/(1x22)

LCM = 15127948044/22

LCM = 687634002

Thus, we can understand that the LCM of 214,349,594,341 is 687634002.

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

• LCM of 601, 663, 973, 813
• LCM of 399, 715, 682, 735
• LCM of 216, 253, 402, 243
• LCM of 165, 597, 806, 540
• LCM of 752, 901, 955, 186

1. What is the LCM of 214, 349, 594, 341?

Answer: LCM of 214, 349, 594, 341 is 687634002.

2. How to calculate the LCM of 214, 349, 594, 341?

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 214, 349, 594, 341.

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}.