Given numbers are 897,312,135,578,158

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

The LCM of 897,312,135,578,158 is 7372586520.

Find LCM of 897,312,135,578,158 with Prime Factorization

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

2 x 3 x 13 x 23 x 4 x 45 x 289 x 79 = 7372586520

Therefore, the lowest common multiple of 897,312,135,578,158 is 7372586520.

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.

897 x 312 x 135 x 578 x 158 = 3450370491360

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

135 : 1, 3, 5, 9, 15, 27, 45, 135

578 : 1, 2, 17, 34, 289, 578

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,312,135,578,158, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

312:2x 2x 2x 3x 13

135:3x 3x 3x 5

578:2x 17x 17

158:2x 79

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 13 = 468

Therefore, the value for common factors is 468.

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 = 3450370491360/(1x468)

LCM = 3450370491360/468

LCM = 7372586520

Thus, we can understand that the LCM of 897,312,135,578,158 is 7372586520.

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

• LCM of 547, 925, 691, 445, 912
• LCM of 116, 220, 904, 588, 550
• LCM of 987, 441, 290, 973, 487
• LCM of 213, 160, 783, 205, 927
• LCM of 613, 142, 483, 561, 528

1. What is the LCM of 897, 312, 135, 578, 158?

Answer: LCM of 897, 312, 135, 578, 158 is 7372586520.

2. How to calculate the LCM of 897, 312, 135, 578, 158?

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 897, 312, 135, 578, 158.

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}.