Given numbers are 416,234,361

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

The LCM of 416,234,361 is 1351584.

Find LCM of 416,234,361 with Prime Factorization

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

2 x 13 x 16 x 9 x 361 = 1351584

Therefore, the lowest common multiple of 416,234,361 is 1351584.

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.

416 x 234 x 361 = 35141184

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,234,361, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

234:2x 3x 3x 13

361:19x 19

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 35141184/(1x26)

LCM = 35141184/26

LCM = 1351584

Thus, we can understand that the LCM of 416,234,361 is 1351584.

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

• LCM of 801, 679, 575
• LCM of 138, 398, 109
• LCM of 969, 290, 258
• LCM of 551, 468, 244
• LCM of 407, 972, 778

1. What is the LCM of 416, 234, 361?

Answer: LCM of 416, 234, 361 is 1351584.

2. How to calculate the LCM of 416, 234, 361?

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 416, 234, 361.

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}.