Given numbers are 214,282,188,335,514

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

The LCM of 214,282,188,335,514 is 5195661060.

Find LCM of 214,282,188,335,514 with Prime Factorization

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

2 x 47 x 107 x 3 x 2 x 335 x 257 = 5195661060

Therefore, the lowest common multiple of 214,282,188,335,514 is 5195661060.

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 282 x 188 x 335 x 514 = 1953568558560

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

188 : 1, 2, 4, 47, 94, 188

335 : 1, 5, 67, 335

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,282,188,335,514, is 1.

Now, the common factors can be found like this.

214:2x 107

282:2x 3x 47

188:2x 2x 47

335:5x 67

514:2x 257

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 2x 47 = 376

Therefore, the value for common factors is 376.

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 = 1953568558560/(1x376)

LCM = 1953568558560/376

LCM = 5195661060

Thus, we can understand that the LCM of 214,282,188,335,514 is 5195661060.

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

• LCM of 172, 248, 778, 616, 129
• LCM of 836, 619, 560, 789, 576
• LCM of 721, 773, 931, 903, 969
• LCM of 520, 171, 812, 381, 545
• LCM of 728, 482, 149, 905, 640

1. What is the LCM of 214, 282, 188, 335, 514?

Answer: LCM of 214, 282, 188, 335, 514 is 5195661060.

2. How to calculate the LCM of 214, 282, 188, 335, 514?

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, 282, 188, 335, 514.

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}.