Given numbers are 314,172,301,374

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

The LCM of 314,172,301,374 is 35348236.

Find LCM of 314,172,301,374 with Prime Factorization

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

2 x 43 x 157 x 2 x 7 x 187 = 35348236

Therefore, the lowest common multiple of 314,172,301,374 is 35348236.

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.

314 x 172 x 301 x 374 = 6079896592

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.

314 : 1, 2, 157, 314

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

301 : 1, 7, 43, 301

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,172,301,374, is 1.

Now, the common factors can be found like this.

314:2x 157

172:2x 2x 43

301:7x 43

374:2x 11x 17

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 = 6079896592/(1x172)

LCM = 6079896592/172

LCM = 35348236

Thus, we can understand that the LCM of 314,172,301,374 is 35348236.

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

• LCM of 906, 313, 212, 866
• LCM of 845, 147, 459, 653
• LCM of 327, 309, 398, 530
• LCM of 965, 644, 980, 463
• LCM of 630, 399, 147, 663

1. What is the LCM of 314, 172, 301, 374?

Answer: LCM of 314, 172, 301, 374 is 35348236.

2. How to calculate the LCM of 314, 172, 301, 374?

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 314, 172, 301, 374.

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}.