Given numbers are 689,212,323,438

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

The LCM of 689,212,323,438 is 194951172.

Find LCM of 689,212,323,438 with Prime Factorization

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

2 x 53 x 13 x 2 x 323 x 219 = 194951172

Therefore, the lowest common multiple of 689,212,323,438 is 194951172.

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.

689 x 212 x 323 x 438 = 20664824232

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.

689 : 1, 13, 53, 689

212 : 1, 2, 4, 53, 106, 212

323 : 1, 17, 19, 323

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,212,323,438, is 1.

Now, the common factors can be found like this.

689:13x 53

212:2x 2x 53

323:17x 19

438:2x 3x 73

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 20664824232/(1x106)

LCM = 20664824232/106

LCM = 194951172

Thus, we can understand that the LCM of 689,212,323,438 is 194951172.

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

• LCM of 246, 969, 937, 420
• LCM of 644, 621, 993, 880
• LCM of 376, 680, 916, 891
• LCM of 906, 156, 441, 498
• LCM of 856, 157, 279, 238

1. What is the LCM of 689, 212, 323, 438?

Answer: LCM of 689, 212, 323, 438 is 194951172.

2. How to calculate the LCM of 689, 212, 323, 438?

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 689, 212, 323, 438.

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}.