Given numbers are 782,842,338,269

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

The LCM of 782,842,338,269 is 14966761342.

Find LCM of 782,842,338,269 with Prime Factorization

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

2 x 391 x 421 x 169 x 269 = 14966761342

Therefore, the lowest common multiple of 782,842,338,269 is 14966761342.

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 842 x 338 x 269 = 59867045368

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

842 : 1, 2, 421, 842

338 : 1, 2, 13, 26, 169, 338

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,842,338,269, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

842:2x 421

338:2x 13x 13

269:269

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 59867045368/(1x4)

LCM = 59867045368/4

LCM = 14966761342

Thus, we can understand that the LCM of 782,842,338,269 is 14966761342.

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

• LCM of 669, 204, 339, 314
• LCM of 832, 499, 506, 909
• LCM of 229, 987, 557, 857
• LCM of 973, 517, 669, 740
• LCM of 332, 737, 727, 341

1. What is the LCM of 782, 842, 338, 269?

Answer: LCM of 782, 842, 338, 269 is 14966761342.

2. How to calculate the LCM of 782, 842, 338, 269?

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, 842, 338, 269.

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}.