Given numbers are 214,529,749,544

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

The LCM of 214,529,749,544 is 215544224.

Find LCM of 214,529,749,544 with Prime Factorization

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

2 x 107 x 1 x 529 x 7 x 272 = 215544224

Therefore, the lowest common multiple of 214,529,749,544 is 215544224.

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 529 x 749 x 544 = 46126463936

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

529 : 1, 23, 529

749 : 1, 7, 107, 749

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,529,749,544, is 1.

Now, the common factors can be found like this.

214:2x 107

529:23x 23

749:7x 107

544:2x 2x 2x 2x 2x 17

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 46126463936/(1x214)

LCM = 46126463936/214

LCM = 215544224

Thus, we can understand that the LCM of 214,529,749,544 is 215544224.

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

• LCM of 334, 622, 541, 156
• LCM of 447, 658, 956, 719
• LCM of 489, 159, 572, 557
• LCM of 107, 109, 533, 383
• LCM of 353, 555, 323, 303

1. What is the LCM of 214, 529, 749, 544?

Answer: LCM of 214, 529, 749, 544 is 215544224.

2. How to calculate the LCM of 214, 529, 749, 544?

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, 529, 749, 544.

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}.