Given numbers are 460,713,711

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

The LCM of 460,713,711 is 10138860.

Find LCM of 460,713,711 with Prime Factorization

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

23 x 20 x 31 x 711 = 10138860

Therefore, the lowest common multiple of 460,713,711 is 10138860.

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 713 x 711 = 233193780

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

713 : 1, 23, 31, 713

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,713,711, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

713:23x 31

711:3x 3x 79

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

23 = 23

Therefore, the value for common factors is 23.

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 = 233193780/(1x23)

LCM = 233193780/23

LCM = 10138860

Thus, we can understand that the LCM of 460,713,711 is 10138860.

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

• LCM of 131, 440, 334
• LCM of 549, 105, 975
• LCM of 321, 644, 860
• LCM of 359, 702, 763
• LCM of 783, 587, 576

1. What is the LCM of 460, 713, 711?

Answer: LCM of 460, 713, 711 is 10138860.

2. How to calculate the LCM of 460, 713, 711?

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, 713, 711.

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}.