Given numbers are 782,493,545,238

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

The LCM of 782,493,545,238 is 86516570.

Find LCM of 782,493,545,238 with Prime Factorization

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

2 x 17 x 23 x 29 x 545 x 7 = 86516570

Therefore, the lowest common multiple of 782,493,545,238 is 86516570.

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.

782 x 493 x 545 x 238 = 50006577460

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

493 : 1, 17, 29, 493

545 : 1, 5, 109, 545

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,493,545,238, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

493:17x 29

545:5x 109

238:2x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 50006577460/(1x578)

LCM = 50006577460/578

LCM = 86516570

Thus, we can understand that the LCM of 782,493,545,238 is 86516570.

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

• LCM of 609, 364, 487, 345
• LCM of 473, 803, 776, 591
• LCM of 902, 322, 298, 832
• LCM of 875, 908, 170, 629
• LCM of 105, 147, 200, 269

1. What is the LCM of 782, 493, 545, 238?

Answer: LCM of 782, 493, 545, 238 is 86516570.

2. How to calculate the LCM of 782, 493, 545, 238?

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 782, 493, 545, 238.

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}.