Given numbers are 275,362,292,164,578

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

The LCM of 275,362,292,164,578 is 172216920700.

Find LCM of 275,362,292,164,578 with Prime Factorization

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

2 x 2 x 275 x 181 x 73 x 41 x 289 = 172216920700

Therefore, the lowest common multiple of 275,362,292,164,578 is 172216920700.

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.

275 x 362 x 292 x 164 x 578 = 2755470731200

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.

275 : 1, 5, 11, 25, 55, 275

362 : 1, 2, 181, 362

292 : 1, 2, 4, 73, 146, 292

164 : 1, 2, 4, 41, 82, 164

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,362,292,164,578, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

362:2x 181

292:2x 2x 73

164:2x 2x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2755470731200/(1x16)

LCM = 2755470731200/16

LCM = 172216920700

Thus, we can understand that the LCM of 275,362,292,164,578 is 172216920700.

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

• LCM of 764, 656, 544, 204, 605
• LCM of 648, 242, 790, 263, 264
• LCM of 513, 712, 748, 723, 217
• LCM of 327, 791, 993, 315, 876
• LCM of 829, 630, 125, 208, 189

1. What is the LCM of 275, 362, 292, 164, 578?

Answer: LCM of 275, 362, 292, 164, 578 is 172216920700.

2. How to calculate the LCM of 275, 362, 292, 164, 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 275, 362, 292, 164, 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}.