Given numbers are 133,84,362

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

The LCM of 133,84,362 is 288876.

Find LCM of 133,84,362 with Prime Factorization

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

2 x 7 x 19 x 6 x 181 = 288876

Therefore, the lowest common multiple of 133,84,362 is 288876.

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.

133 x 84 x 362 = 4044264

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.

133 : 1, 7, 19, 133

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,84,362, is 1.

Now, the common factors can be found like this.

133:7x 19

84:2x 2x 3x 7

362:2x 181

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4044264/(1x14)

LCM = 4044264/14

LCM = 288876

Thus, we can understand that the LCM of 133,84,362 is 288876.

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

• LCM of 679, 85, 385
• LCM of 402, 46, 382
• LCM of 363, 25, 798
• LCM of 920, 92, 255
• LCM of 204, 64, 987

1. What is the LCM of 133, 84, 362?

Answer: LCM of 133, 84, 362 is 288876.

2. How to calculate the LCM of 133, 84, 362?

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 133, 84, 362.

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}.