Given numbers are 460,269,299,982

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

The LCM of 460,269,299,982 is 789832420.

Find LCM of 460,269,299,982 with Prime Factorization

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

2 x 23 x 10 x 269 x 13 x 491 = 789832420

Therefore, the lowest common multiple of 460,269,299,982 is 789832420.

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.

460 x 269 x 299 x 982 = 36332291320

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

269 : 1, 269

299 : 1, 13, 23, 299

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,269,299,982, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

269:269

299:13x 23

982:2x 491

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 36332291320/(1x46)

LCM = 36332291320/46

LCM = 789832420

Thus, we can understand that the LCM of 460,269,299,982 is 789832420.

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

• LCM of 303, 559, 871, 815
• LCM of 864, 109, 556, 474
• LCM of 803, 496, 113, 490
• LCM of 565, 332, 385, 235
• LCM of 320, 613, 146, 141

1. What is the LCM of 460, 269, 299, 982?

Answer: LCM of 460, 269, 299, 982 is 789832420.

2. How to calculate the LCM of 460, 269, 299, 982?

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 460, 269, 299, 982.

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}.