Given numbers are 690,301,466,172

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

The LCM of 690,301,466,172 is 96783540.

Find LCM of 690,301,466,172 with Prime Factorization

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

2 x 43 x 345 x 7 x 233 x 2 = 96783540

Therefore, the lowest common multiple of 690,301,466,172 is 96783540.

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.

690 x 301 x 466 x 172 = 16646768880

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

301 : 1, 7, 43, 301

466 : 1, 2, 233, 466

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,301,466,172, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

301:7x 43

466:2x 233

172:2x 2x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 16646768880/(1x172)

LCM = 16646768880/172

LCM = 96783540

Thus, we can understand that the LCM of 690,301,466,172 is 96783540.

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

• LCM of 707, 877, 152, 565
• LCM of 311, 532, 741, 246
• LCM of 746, 996, 300, 550
• LCM of 673, 517, 340, 843
• LCM of 985, 709, 466, 723

1. What is the LCM of 690, 301, 466, 172?

Answer: LCM of 690, 301, 466, 172 is 96783540.

2. How to calculate the LCM of 690, 301, 466, 172?

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 690, 301, 466, 172.

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}.