Given numbers are 918,172,343,257,421

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

The LCM of 918,172,343,257,421 is 2929884307308.

Find LCM of 918,172,343,257,421 with Prime Factorization

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

2 x 459 x 86 x 343 x 257 x 421 = 2929884307308

Therefore, the lowest common multiple of 918,172,343,257,421 is 2929884307308.

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.

918 x 172 x 343 x 257 x 421 = 5859768614616

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.

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

172 : 1, 2, 4, 43, 86, 172

343 : 1, 7, 49, 343

257 : 1, 257

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,172,343,257,421, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

172:2x 2x 43

343:7x 7x 7

257:257

421:421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 5859768614616/(1x2)

LCM = 5859768614616/2

LCM = 2929884307308

Thus, we can understand that the LCM of 918,172,343,257,421 is 2929884307308.

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

• LCM of 648, 935, 813, 327, 795
• LCM of 104, 433, 996, 364, 158
• LCM of 260, 484, 182, 756, 262
• LCM of 187, 381, 841, 262, 170
• LCM of 919, 505, 640, 640, 635

1. What is the LCM of 918, 172, 343, 257, 421?

Answer: LCM of 918, 172, 343, 257, 421 is 2929884307308.

2. How to calculate the LCM of 918, 172, 343, 257, 421?

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 918, 172, 343, 257, 421.

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}.