Given numbers are 361,146,414,365,479

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

The LCM of 361,146,414,365,479 is 26129790090.

Find LCM of 361,146,414,365,479 with Prime Factorization

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

2 x 73 x 361 x 1 x 207 x 5 x 479 = 26129790090

Therefore, the lowest common multiple of 361,146,414,365,479 is 26129790090.

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.

361 x 146 x 414 x 365 x 479 = 3814949353140

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.

361 : 1, 19, 361

146 : 1, 2, 73, 146

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

365 : 1, 5, 73, 365

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,146,414,365,479, is 1.

Now, the common factors can be found like this.

361:19x 19

146:2x 73

414:2x 3x 3x 23

365:5x 73

479:479

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 3814949353140/(1x146)

LCM = 3814949353140/146

LCM = 26129790090

Thus, we can understand that the LCM of 361,146,414,365,479 is 26129790090.

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

• LCM of 418, 910, 426, 605, 909
• LCM of 374, 281, 559, 447, 344
• LCM of 181, 316, 705, 850, 956
• LCM of 205, 300, 493, 349, 578
• LCM of 238, 860, 788, 250, 870

1. What is the LCM of 361, 146, 414, 365, 479?

Answer: LCM of 361, 146, 414, 365, 479 is 26129790090.

2. How to calculate the LCM of 361, 146, 414, 365, 479?

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 361, 146, 414, 365, 479.

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}.