Given numbers are 367,274,314,354

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

The LCM of 367,274,314,354 is 2794406262.

Find LCM of 367,274,314,354 with Prime Factorization

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

2 x 367 x 137 x 157 x 177 = 2794406262

Therefore, the lowest common multiple of 367,274,314,354 is 2794406262.

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.

367 x 274 x 314 x 354 = 11177625048

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.

367 : 1, 367

274 : 1, 2, 137, 274

314 : 1, 2, 157, 314

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,274,314,354, is 1.

Now, the common factors can be found like this.

367:367

274:2x 137

314:2x 157

354:2x 3x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11177625048/(1x4)

LCM = 11177625048/4

LCM = 2794406262

Thus, we can understand that the LCM of 367,274,314,354 is 2794406262.

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

• LCM of 751, 413, 274, 872
• LCM of 218, 521, 916, 832
• LCM of 978, 821, 916, 800
• LCM of 712, 383, 901, 708
• LCM of 736, 243, 863, 845

1. What is the LCM of 367, 274, 314, 354?

Answer: LCM of 367, 274, 314, 354 is 2794406262.

2. How to calculate the LCM of 367, 274, 314, 354?

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 367, 274, 314, 354.

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}.