Given numbers are 269,428,381,390,701

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

The LCM of 269,428,381,390,701 is 1998722029980.

Find LCM of 269,428,381,390,701 with Prime Factorization

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

2 x 3 x 269 x 214 x 127 x 65 x 701 = 1998722029980

Therefore, the lowest common multiple of 269,428,381,390,701 is 1998722029980.

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.

269 x 428 x 381 x 390 x 701 = 11992332179880

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.

269 : 1, 269

428 : 1, 2, 4, 107, 214, 428

381 : 1, 3, 127, 381

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,428,381,390,701, is 1.

Now, the common factors can be found like this.

269:269

428:2x 2x 107

381:3x 127

390:2x 3x 5x 13

701:701

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 11992332179880/(1x6)

LCM = 11992332179880/6

LCM = 1998722029980

Thus, we can understand that the LCM of 269,428,381,390,701 is 1998722029980.

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

• LCM of 208, 122, 204, 182, 506
• LCM of 189, 306, 116, 736, 286
• LCM of 957, 530, 237, 290, 513
• LCM of 598, 123, 665, 571, 435
• LCM of 857, 204, 672, 850, 690

1. What is the LCM of 269, 428, 381, 390, 701?

Answer: LCM of 269, 428, 381, 390, 701 is 1998722029980.

2. How to calculate the LCM of 269, 428, 381, 390, 701?

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 269, 428, 381, 390, 701.

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}.