Given numbers are 286,269,523,429

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

The LCM of 286,269,523,429 is 120709446.

Find LCM of 286,269,523,429 with Prime Factorization

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

11 x 13 x 2 x 269 x 523 x 3 = 120709446

Therefore, the lowest common multiple of 286,269,523,429 is 120709446.

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.

286 x 269 x 523 x 429 = 17261450778

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

269 : 1, 269

523 : 1, 523

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,269,523,429, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

269:269

523:523

429:3x 11x 13

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 17261450778/(1x143)

LCM = 17261450778/143

LCM = 120709446

Thus, we can understand that the LCM of 286,269,523,429 is 120709446.

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

• LCM of 280, 157, 125, 102
• LCM of 222, 299, 793, 970
• LCM of 566, 495, 593, 693
• LCM of 922, 308, 483, 692
• LCM of 162, 491, 989, 880

1. What is the LCM of 286, 269, 523, 429?

Answer: LCM of 286, 269, 523, 429 is 120709446.

2. How to calculate the LCM of 286, 269, 523, 429?

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 286, 269, 523, 429.

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}.