Given numbers are 460,936,239,269

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

The LCM of 460,936,239,269 is 6920283240.

Find LCM of 460,936,239,269 with Prime Factorization

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

2 x 2 x 115 x 234 x 239 x 269 = 6920283240

Therefore, the lowest common multiple of 460,936,239,269 is 6920283240.

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 936 x 239 x 269 = 27681132960

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

239 : 1, 239

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,936,239,269, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

936:2x 2x 2x 3x 3x 13

239:239

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 = 27681132960/(1x4)

LCM = 27681132960/4

LCM = 6920283240

Thus, we can understand that the LCM of 460,936,239,269 is 6920283240.

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

• LCM of 739, 396, 663, 170
• LCM of 209, 111, 825, 559
• LCM of 648, 780, 989, 972
• LCM of 588, 131, 739, 374
• LCM of 508, 298, 148, 580

1. What is the LCM of 460, 936, 239, 269?

Answer: LCM of 460, 936, 239, 269 is 6920283240.

2. How to calculate the LCM of 460, 936, 239, 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 460, 936, 239, 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}.