Given numbers are 728,748,357,988,406

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

The LCM of 728,748,357,988,406 is 225032808.

Find LCM of 728,748,357,988,406 with Prime Factorization

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

2 x 2 x 7 x 13 x 17 x 2 x 11 x 3 x 19 x 29 = 225032808

Therefore, the lowest common multiple of 728,748,357,988,406 is 225032808.

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.

728 x 748 x 357 x 988 x 406 = 77980168890624

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

357 : 1, 3, 7, 17, 21, 51, 119, 357

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,748,357,988,406, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

748:2x 2x 11x 17

357:3x 7x 17

988:2x 2x 13x 19

406:2x 7x 29

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 2x 7x 7x 13x 17 = 346528

Therefore, the value for common factors is 346528.

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 = 77980168890624/(1x346528)

LCM = 77980168890624/346528

LCM = 225032808

Thus, we can understand that the LCM of 728,748,357,988,406 is 225032808.

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

• LCM of 362, 178, 714, 180, 614
• LCM of 464, 169, 858, 200, 233
• LCM of 290, 802, 174, 703, 926
• LCM of 539, 175, 680, 955, 941
• LCM of 172, 343, 705, 461, 180

1. What is the LCM of 728, 748, 357, 988, 406?

Answer: LCM of 728, 748, 357, 988, 406 is 225032808.

2. How to calculate the LCM of 728, 748, 357, 988, 406?

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 728, 748, 357, 988, 406.

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}.