Given numbers are 457,237,770,928,958

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

The LCM of 457,237,770,928,958 is 18535690330080.

Find LCM of 457,237,770,928,958 with Prime Factorization

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

2 x 457 x 237 x 385 x 464 x 479 = 18535690330080

Therefore, the lowest common multiple of 457,237,770,928,958 is 18535690330080.

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.

457 x 237 x 770 x 928 x 958 = 74142761320320

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.

457 : 1, 457

237 : 1, 3, 79, 237

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,237,770,928,958, is 1.

Now, the common factors can be found like this.

457:457

237:3x 79

770:2x 5x 7x 11

928:2x 2x 2x 2x 2x 29

958:2x 479

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 = 74142761320320/(1x4)

LCM = 74142761320320/4

LCM = 18535690330080

Thus, we can understand that the LCM of 457,237,770,928,958 is 18535690330080.

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

• LCM of 464, 609, 796, 526, 200
• LCM of 535, 750, 470, 995, 958
• LCM of 360, 406, 242, 310, 799
• LCM of 793, 712, 270, 844, 343
• LCM of 291, 482, 372, 943, 461

1. What is the LCM of 457, 237, 770, 928, 958?

Answer: LCM of 457, 237, 770, 928, 958 is 18535690330080.

2. How to calculate the LCM of 457, 237, 770, 928, 958?

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 457, 237, 770, 928, 958.

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}.