Given numbers are 460,46,577,531

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

The LCM of 460,46,577,531 is 140938020.

Find LCM of 460,46,577,531 with Prime Factorization

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

2 x 23 x 10 x 1 x 577 x 531 = 140938020

Therefore, the lowest common multiple of 460,46,577,531 is 140938020.

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 46 x 577 x 531 = 6483148920

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

46 : 1, 2, 23, 46

577 : 1, 577

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,46,577,531, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

46:2x 23

577:577

531:3x 3x 59

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 = 6483148920/(1x46)

LCM = 6483148920/46

LCM = 140938020

Thus, we can understand that the LCM of 460,46,577,531 is 140938020.

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

• LCM of 334, 92, 778, 675
• LCM of 731, 19, 164, 127
• LCM of 623, 33, 800, 973
• LCM of 197, 50, 781, 328
• LCM of 676, 20, 289, 787

1. What is the LCM of 460, 46, 577, 531?

Answer: LCM of 460, 46, 577, 531 is 140938020.

2. How to calculate the LCM of 460, 46, 577, 531?

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, 46, 577, 531.

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}.