Given numbers are 726,776,270,975,487

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

The LCM of 726,776,270,975,487 is 401257513800.

Find LCM of 726,776,270,975,487 with Prime Factorization

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

2 x 3 x 5 x 121 x 388 x 9 x 65 x 487 = 401257513800

Therefore, the lowest common multiple of 726,776,270,975,487 is 401257513800.

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.

726 x 776 x 270 x 975 x 487 = 72226352484000

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

776 : 1, 2, 4, 8, 97, 194, 388, 776

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,776,270,975,487, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

776:2x 2x 2x 97

270:2x 3x 3x 3x 5

975:3x 5x 5x 13

487:487

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 72226352484000/(1x180)

LCM = 72226352484000/180

LCM = 401257513800

Thus, we can understand that the LCM of 726,776,270,975,487 is 401257513800.

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

• LCM of 517, 160, 429, 368, 192
• LCM of 359, 881, 225, 916, 649
• LCM of 341, 163, 576, 863, 469
• LCM of 396, 780, 585, 618, 194
• LCM of 375, 807, 447, 579, 729

1. What is the LCM of 726, 776, 270, 975, 487?

Answer: LCM of 726, 776, 270, 975, 487 is 401257513800.

2. How to calculate the LCM of 726, 776, 270, 975, 487?

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 726, 776, 270, 975, 487.

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}.