Given numbers are 234,146,278,444,578

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

The LCM of 234,146,278,444,578 is 50778875628.

Find LCM of 234,146,278,444,578 with Prime Factorization

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

2 x 3 x 39 x 73 x 139 x 74 x 289 = 50778875628

Therefore, the lowest common multiple of 234,146,278,444,578 is 50778875628.

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.

234 x 146 x 278 x 444 x 578 = 2437386030144

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

146 : 1, 2, 73, 146

278 : 1, 2, 139, 278

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,146,278,444,578, is 2.

Now, the common factors can be found like this.

234:2x 3x 3x 13

146:2x 73

278:2x 139

444:2x 2x 3x 37

578:2x 17x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2437386030144/(2x24)

LCM = 2437386030144/48

LCM = 50778875628

Thus, we can understand that the LCM of 234,146,278,444,578 is 50778875628.

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

• LCM of 599, 136, 857, 851, 422
• LCM of 312, 713, 129, 132, 167
• LCM of 892, 228, 934, 792, 901
• LCM of 173, 891, 956, 742, 600
• LCM of 650, 993, 362, 231, 610

1. What is the LCM of 234, 146, 278, 444, 578?

Answer: LCM of 234, 146, 278, 444, 578 is 50778875628.

2. How to calculate the LCM of 234, 146, 278, 444, 578?

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 234, 146, 278, 444, 578.

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}.