Given numbers are 728,452,408,918,901

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

The LCM of 728,452,408,918,901 is 2001236328.

Find LCM of 728,452,408,918,901 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 91 x 113 x 1 x 9 x 53 = 2001236328

Therefore, the lowest common multiple of 728,452,408,918,901 is 2001236328.

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 452 x 408 x 918 x 901 = 111044601368064

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

452 : 1, 2, 4, 113, 226, 452

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,452,408,918,901, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

452:2x 2x 113

408:2x 2x 2x 3x 17

918:2x 3x 3x 3x 17

901:17x 53

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 2x 3x 17x 17 = 55488

Therefore, the value for common factors is 55488.

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 = 111044601368064/(1x55488)

LCM = 111044601368064/55488

LCM = 2001236328

Thus, we can understand that the LCM of 728,452,408,918,901 is 2001236328.

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

• LCM of 650, 225, 311, 956, 689
• LCM of 688, 803, 523, 525, 928
• LCM of 367, 996, 622, 839, 295
• LCM of 915, 439, 594, 249, 573
• LCM of 140, 608, 651, 797, 945

1. What is the LCM of 728, 452, 408, 918, 901?

Answer: LCM of 728, 452, 408, 918, 901 is 2001236328.

2. How to calculate the LCM of 728, 452, 408, 918, 901?

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, 452, 408, 918, 901.

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}.