Given numbers are 460,715,523,541

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

The LCM of 460,715,523,541 is 18611990540.

Find LCM of 460,715,523,541 with Prime Factorization

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

5 x 92 x 143 x 523 x 541 = 18611990540

Therefore, the lowest common multiple of 460,715,523,541 is 18611990540.

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 715 x 523 x 541 = 93059952700

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

523 : 1, 523

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,715,523,541, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

715:5x 11x 13

523:523

541:541

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 93059952700/(1x5)

LCM = 93059952700/5

LCM = 18611990540

Thus, we can understand that the LCM of 460,715,523,541 is 18611990540.

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

• LCM of 174, 164, 238, 882
• LCM of 596, 304, 355, 442
• LCM of 968, 238, 950, 266
• LCM of 836, 568, 556, 890
• LCM of 138, 536, 150, 185

1. What is the LCM of 460, 715, 523, 541?

Answer: LCM of 460, 715, 523, 541 is 18611990540.

2. How to calculate the LCM of 460, 715, 523, 541?

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, 715, 523, 541.

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}.