Given numbers are 708,726,439,406,460

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

The LCM of 708,726,439,406,460 is 877964642940.

Find LCM of 708,726,439,406,460 with Prime Factorization

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

2 x 2 x 3 x 59 x 121 x 439 x 203 x 115 = 877964642940

Therefore, the lowest common multiple of 708,726,439,406,460 is 877964642940.

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.

708 x 726 x 439 x 406 x 460 = 42142302861120

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

439 : 1, 439

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,726,439,406,460, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

726:2x 3x 11x 11

439:439

406:2x 7x 29

460:2x 2x 5x 23

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 3 = 48

Therefore, the value for common factors is 48.

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 = 42142302861120/(1x48)

LCM = 42142302861120/48

LCM = 877964642940

Thus, we can understand that the LCM of 708,726,439,406,460 is 877964642940.

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

• LCM of 862, 298, 403, 548, 623
• LCM of 897, 164, 942, 241, 648
• LCM of 611, 539, 739, 388, 759
• LCM of 265, 891, 435, 919, 390
• LCM of 564, 673, 319, 153, 725

1. What is the LCM of 708, 726, 439, 406, 460?

Answer: LCM of 708, 726, 439, 406, 460 is 877964642940.

2. How to calculate the LCM of 708, 726, 439, 406, 460?

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 708, 726, 439, 406, 460.

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}.