Given numbers are 414,349,257,742

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

The LCM of 414,349,257,742 is 13776306642.

Find LCM of 414,349,257,742 with Prime Factorization

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

2 x 207 x 349 x 257 x 371 = 13776306642

Therefore, the lowest common multiple of 414,349,257,742 is 13776306642.

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.

414 x 349 x 257 x 742 = 27552613284

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

349 : 1, 349

257 : 1, 257

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,349,257,742, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

349:349

257:257

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 27552613284/(1x2)

LCM = 27552613284/2

LCM = 13776306642

Thus, we can understand that the LCM of 414,349,257,742 is 13776306642.

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

• LCM of 909, 447, 642, 612
• LCM of 375, 167, 441, 220
• LCM of 547, 980, 880, 898
• LCM of 872, 261, 615, 568
• LCM of 681, 184, 679, 279

1. What is the LCM of 414, 349, 257, 742?

Answer: LCM of 414, 349, 257, 742 is 13776306642.

2. How to calculate the LCM of 414, 349, 257, 742?

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 414, 349, 257, 742.

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}.