Given numbers are 460,206,438,503,977

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

The LCM of 460,206,438,503,977 is 5099196170820.

Find LCM of 460,206,438,503,977 with Prime Factorization

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

2 x 230 x 103 x 219 x 503 x 977 = 5099196170820

Therefore, the lowest common multiple of 460,206,438,503,977 is 5099196170820.

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 206 x 438 x 503 x 977 = 20396784683280

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

206 : 1, 2, 103, 206

438 : 1, 2, 3, 6, 73, 146, 219, 438

503 : 1, 503

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,206,438,503,977, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

206:2x 103

438:2x 3x 73

503:503

977:977

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 = 20396784683280/(1x4)

LCM = 20396784683280/4

LCM = 5099196170820

Thus, we can understand that the LCM of 460,206,438,503,977 is 5099196170820.

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

• LCM of 956, 879, 283, 462, 534
• LCM of 856, 281, 868, 871, 102
• LCM of 284, 819, 253, 852, 369
• LCM of 217, 351, 862, 411, 493
• LCM of 277, 333, 687, 689, 830

1. What is the LCM of 460, 206, 438, 503, 977?

Answer: LCM of 460, 206, 438, 503, 977 is 5099196170820.

2. How to calculate the LCM of 460, 206, 438, 503, 977?

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, 206, 438, 503, 977.

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}.