Given numbers are 308,284,560,149,619

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

The LCM of 308,284,560,149,619 is 40338150160.

Find LCM of 308,284,560,149,619 with Prime Factorization

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

2 x 2 x 7 x 11 x 71 x 20 x 149 x 619 = 40338150160

Therefore, the lowest common multiple of 308,284,560,149,619 is 40338150160.

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.

308 x 284 x 560 x 149 x 619 = 4517872817920

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

284 : 1, 2, 4, 71, 142, 284

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

149 : 1, 149

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,284,560,149,619, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

284:2x 2x 71

560:2x 2x 2x 2x 5x 7

149:149

619:619

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 4517872817920/(1x112)

LCM = 4517872817920/112

LCM = 40338150160

Thus, we can understand that the LCM of 308,284,560,149,619 is 40338150160.

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

• LCM of 544, 894, 238, 236, 280
• LCM of 252, 497, 430, 234, 775
• LCM of 333, 556, 441, 655, 440
• LCM of 504, 861, 441, 207, 678
• LCM of 594, 854, 308, 785, 868

1. What is the LCM of 308, 284, 560, 149, 619?

Answer: LCM of 308, 284, 560, 149, 619 is 40338150160.

2. How to calculate the LCM of 308, 284, 560, 149, 619?

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 308, 284, 560, 149, 619.

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}.