Given numbers are 784,642,621,524,438

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

The LCM of 784,642,621,524,438 is 498179206224.

Find LCM of 784,642,621,524,438 with Prime Factorization

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

2 x 2 x 3 x 196 x 107 x 207 x 131 x 73 = 498179206224

Therefore, the lowest common multiple of 784,642,621,524,438 is 498179206224.

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.

784 x 642 x 621 x 524 x 438 = 71737805696256

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

642 : 1, 2, 3, 6, 107, 214, 321, 642

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,642,621,524,438, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

642:2x 3x 107

621:3x 3x 3x 23

524:2x 2x 131

438:2x 3x 73

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 71737805696256/(1x144)

LCM = 71737805696256/144

LCM = 498179206224

Thus, we can understand that the LCM of 784,642,621,524,438 is 498179206224.

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

• LCM of 518, 286, 168, 850, 850
• LCM of 565, 714, 610, 162, 977
• LCM of 536, 384, 518, 811, 631
• LCM of 162, 856, 613, 469, 599
• LCM of 578, 912, 718, 335, 665

1. What is the LCM of 784, 642, 621, 524, 438?

Answer: LCM of 784, 642, 621, 524, 438 is 498179206224.

2. How to calculate the LCM of 784, 642, 621, 524, 438?

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 784, 642, 621, 524, 438.

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}.