Given numbers are 128,224,242,509,781

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

The LCM of 128,224,242,509,781 is 3918045824.

Find LCM of 128,224,242,509,781 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 11 x 4 x 7 x 11 x 509 x 71 = 3918045824

Therefore, the lowest common multiple of 128,224,242,509,781 is 3918045824.

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.

128 x 224 x 242 x 509 x 781 = 2758304260096

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

242 : 1, 2, 11, 22, 121, 242

509 : 1, 509

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,224,242,509,781, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

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

242:2x 11x 11

509:509

781:11x 71

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 2x 2x 11 = 704

Therefore, the value for common factors is 704.

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 = 2758304260096/(1x704)

LCM = 2758304260096/704

LCM = 3918045824

Thus, we can understand that the LCM of 128,224,242,509,781 is 3918045824.

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

• LCM of 437, 476, 940, 344, 518
• LCM of 269, 104, 402, 489, 390
• LCM of 591, 800, 760, 473, 453
• LCM of 263, 664, 937, 487, 233
• LCM of 537, 122, 500, 574, 339

1. What is the LCM of 128, 224, 242, 509, 781?

Answer: LCM of 128, 224, 242, 509, 781 is 3918045824.

2. How to calculate the LCM of 128, 224, 242, 509, 781?

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 128, 224, 242, 509, 781.

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}.