Given numbers are 528,460,727,682

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

The LCM of 528,460,727,682 is 1368446640.

Find LCM of 528,460,727,682 with Prime Factorization

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

2 x 2 x 11 x 12 x 115 x 727 x 31 = 1368446640

Therefore, the lowest common multiple of 528,460,727,682 is 1368446640.

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.

528 x 460 x 727 x 682 = 120423304320

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

727 : 1, 727

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,460,727,682, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

460:2x 2x 5x 23

727:727

682:2x 11x 31

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

2x 2x 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 120423304320/(1x88)

LCM = 120423304320/88

LCM = 1368446640

Thus, we can understand that the LCM of 528,460,727,682 is 1368446640.

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

• LCM of 729, 541, 673, 911
• LCM of 787, 259, 642, 123
• LCM of 317, 891, 849, 134
• LCM of 303, 483, 655, 193
• LCM of 828, 430, 833, 323

1. What is the LCM of 528, 460, 727, 682?

Answer: LCM of 528, 460, 727, 682 is 1368446640.

2. How to calculate the LCM of 528, 460, 727, 682?

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 528, 460, 727, 682.

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}.