Given numbers are 727,438,676,160,692

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

The LCM of 727,438,676,160,692 is 744785676960.

Find LCM of 727,438,676,160,692 with Prime Factorization

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

2 x 2 x 727 x 219 x 169 x 40 x 173 = 744785676960

Therefore, the lowest common multiple of 727,438,676,160,692 is 744785676960.

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.

727 x 438 x 676 x 160 x 692 = 23833141662720

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.

727 : 1, 727

438 : 1, 2, 3, 6, 73, 146, 219, 438

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,438,676,160,692, is 1.

Now, the common factors can be found like this.

727:727

438:2x 3x 73

676:2x 2x 13x 13

160:2x 2x 2x 2x 2x 5

692:2x 2x 173

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 23833141662720/(1x32)

LCM = 23833141662720/32

LCM = 744785676960

Thus, we can understand that the LCM of 727,438,676,160,692 is 744785676960.

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

• LCM of 944, 420, 848, 869, 232
• LCM of 304, 933, 179, 902, 364
• LCM of 312, 459, 556, 887, 531
• LCM of 394, 419, 796, 535, 638
• LCM of 577, 550, 100, 238, 792

1. What is the LCM of 727, 438, 676, 160, 692?

Answer: LCM of 727, 438, 676, 160, 692 is 744785676960.

2. How to calculate the LCM of 727, 438, 676, 160, 692?

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 727, 438, 676, 160, 692.

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}.