Given numbers are 781,348,382,438,828

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

The LCM of 781,348,382,438,828 is 261478265796.

Find LCM of 781,348,382,438,828 with Prime Factorization

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

2 x 2 x 3 x 781 x 29 x 191 x 73 x 69 = 261478265796

Therefore, the lowest common multiple of 781,348,382,438,828 is 261478265796.

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.

781 x 348 x 382 x 438 x 828 = 37652870274624

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.

781 : 1, 11, 71, 781

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

382 : 1, 2, 191, 382

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,348,382,438,828, is 1.

Now, the common factors can be found like this.

781:11x 71

348:2x 2x 3x 29

382:2x 191

438:2x 3x 73

828:2x 2x 3x 3x 23

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 = 37652870274624/(1x144)

LCM = 37652870274624/144

LCM = 261478265796

Thus, we can understand that the LCM of 781,348,382,438,828 is 261478265796.

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

• LCM of 515, 101, 141, 339, 862
• LCM of 756, 230, 973, 747, 169
• LCM of 881, 371, 443, 673, 627
• LCM of 917, 527, 129, 918, 617
• LCM of 369, 671, 922, 758, 867

1. What is the LCM of 781, 348, 382, 438, 828?

Answer: LCM of 781, 348, 382, 438, 828 is 261478265796.

2. How to calculate the LCM of 781, 348, 382, 438, 828?

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 781, 348, 382, 438, 828.

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}.