Given numbers are 219,395,524,377,224

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

The LCM of 219,395,524,377,224 is 956977825440.

Find LCM of 219,395,524,377,224 with Prime Factorization

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

2 x 2 x 219 x 395 x 131 x 377 x 56 = 956977825440

Therefore, the lowest common multiple of 219,395,524,377,224 is 956977825440.

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.

219 x 395 x 524 x 377 x 224 = 3827911301760

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.

219 : 1, 3, 73, 219

395 : 1, 5, 79, 395

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

377 : 1, 13, 29, 377

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,395,524,377,224, is 1.

Now, the common factors can be found like this.

219:3x 73

395:5x 79

524:2x 2x 131

377:13x 29

224:2x 2x 2x 2x 2x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3827911301760/(1x4)

LCM = 3827911301760/4

LCM = 956977825440

Thus, we can understand that the LCM of 219,395,524,377,224 is 956977825440.

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

• LCM of 990, 830, 881, 128, 799
• LCM of 754, 825, 638, 747, 764
• LCM of 173, 225, 251, 545, 307
• LCM of 616, 411, 825, 702, 887
• LCM of 924, 984, 686, 295, 501

1. What is the LCM of 219, 395, 524, 377, 224?

Answer: LCM of 219, 395, 524, 377, 224 is 956977825440.

2. How to calculate the LCM of 219, 395, 524, 377, 224?

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 219, 395, 524, 377, 224.

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}.