Given numbers are 522,143,278,178,296

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

The LCM of 522,143,278,178,296 is 136669958568.

Find LCM of 522,143,278,178,296 with Prime Factorization

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

2 x 261 x 143 x 139 x 89 x 148 = 136669958568

Therefore, the lowest common multiple of 522,143,278,178,296 is 136669958568.

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.

522 x 143 x 278 x 178 x 296 = 1093359668544

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

143 : 1, 11, 13, 143

278 : 1, 2, 139, 278

178 : 1, 2, 89, 178

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,143,278,178,296, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

143:11x 13

278:2x 139

178:2x 89

296:2x 2x 2x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1093359668544/(1x8)

LCM = 1093359668544/8

LCM = 136669958568

Thus, we can understand that the LCM of 522,143,278,178,296 is 136669958568.

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

• LCM of 901, 820, 644, 188, 311
• LCM of 338, 894, 465, 364, 121
• LCM of 671, 618, 114, 503, 934
• LCM of 744, 267, 438, 540, 321
• LCM of 172, 669, 828, 510, 826

1. What is the LCM of 522, 143, 278, 178, 296?

Answer: LCM of 522, 143, 278, 178, 296 is 136669958568.

2. How to calculate the LCM of 522, 143, 278, 178, 296?

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 522, 143, 278, 178, 296.

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}.