Given numbers are 460,242,521,234

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

The LCM of 460,242,521,234 is 3392866620.

Find LCM of 460,242,521,234 with Prime Factorization

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

2 x 230 x 121 x 521 x 117 = 3392866620

Therefore, the lowest common multiple of 460,242,521,234 is 3392866620.

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 242 x 521 x 234 = 13571466480

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

242 : 1, 2, 11, 22, 121, 242

521 : 1, 521

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,242,521,234, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

242:2x 11x 11

521:521

234:2x 3x 3x 13

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 = 13571466480/(1x4)

LCM = 13571466480/4

LCM = 3392866620

Thus, we can understand that the LCM of 460,242,521,234 is 3392866620.

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

• LCM of 192, 274, 257, 964
• LCM of 594, 926, 760, 293
• LCM of 639, 505, 259, 269
• LCM of 793, 328, 633, 330
• LCM of 714, 346, 253, 149

1. What is the LCM of 460, 242, 521, 234?

Answer: LCM of 460, 242, 521, 234 is 3392866620.

2. How to calculate the LCM of 460, 242, 521, 234?

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, 242, 521, 234.

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}.