Given numbers are 289,136,354,362

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

The LCM of 289,136,354,362 is 74069544.

Find LCM of 289,136,354,362 with Prime Factorization

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

2 x 17 x 17 x 4 x 177 x 181 = 74069544

Therefore, the lowest common multiple of 289,136,354,362 is 74069544.

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.

289 x 136 x 354 x 362 = 5036728992

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.

289 : 1, 17, 289

136 : 1, 2, 4, 8, 17, 34, 68, 136

354 : 1, 2, 3, 6, 59, 118, 177, 354

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,136,354,362, is 1.

Now, the common factors can be found like this.

289:17x 17

136:2x 2x 2x 17

354:2x 3x 59

362:2x 181

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 17 = 68

Therefore, the value for common factors is 68.

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 = 5036728992/(1x68)

LCM = 5036728992/68

LCM = 74069544

Thus, we can understand that the LCM of 289,136,354,362 is 74069544.

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

• LCM of 389, 581, 568, 223
• LCM of 711, 555, 860, 346
• LCM of 314, 598, 473, 803
• LCM of 404, 668, 355, 996
• LCM of 758, 317, 629, 913

1. What is the LCM of 289, 136, 354, 362?

Answer: LCM of 289, 136, 354, 362 is 74069544.

2. How to calculate the LCM of 289, 136, 354, 362?

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 289, 136, 354, 362.

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}.