Given numbers are 736,299,122,560,284

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

The LCM of 736,299,122,560,284 is 1450365280.

Find LCM of 736,299,122,560,284 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 2 x 13 x 61 x 35 x 71 = 1450365280

Therefore, the lowest common multiple of 736,299,122,560,284 is 1450365280.

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.

736 x 299 x 122 x 560 x 284 = 4269875384320

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

299 : 1, 13, 23, 299

122 : 1, 2, 61, 122

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,299,122,560,284, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

299:13x 23

122:2x 61

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

284:2x 2x 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 2x 23 = 2944

Therefore, the value for common factors is 2944.

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 = 4269875384320/(1x2944)

LCM = 4269875384320/2944

LCM = 1450365280

Thus, we can understand that the LCM of 736,299,122,560,284 is 1450365280.

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

• LCM of 911, 914, 186, 534, 926
• LCM of 372, 264, 923, 167, 797
• LCM of 329, 115, 339, 482, 898
• LCM of 645, 664, 126, 522, 411
• LCM of 766, 950, 933, 812, 491

1. What is the LCM of 736, 299, 122, 560, 284?

Answer: LCM of 736, 299, 122, 560, 284 is 1450365280.

2. How to calculate the LCM of 736, 299, 122, 560, 284?

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 736, 299, 122, 560, 284.

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}.