Given numbers are 261,402,132,22

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

The LCM of 261,402,132,22 is 769428.

Find LCM of 261,402,132,22 with Prime Factorization

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

2 x 3 x 11 x 87 x 67 x 2 x 1 = 769428

Therefore, the lowest common multiple of 261,402,132,22 is 769428.

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.

261 x 402 x 132 x 22 = 304693488

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.

261 : 1, 3, 9, 29, 87, 261

402 : 1, 2, 3, 6, 67, 134, 201, 402

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

22 : 1, 2, 11, 22

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,402,132,22, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

402:2x 3x 67

132:2x 2x 3x 11

22:2x 11

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 304693488/(1x396)

LCM = 304693488/396

LCM = 769428

Thus, we can understand that the LCM of 261,402,132,22 is 769428.

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

• LCM of 650, 430, 980, 70
• LCM of 452, 943, 925, 78
• LCM of 294, 618, 141, 60
• LCM of 278, 618, 541, 57
• LCM of 212, 194, 786, 73

1. What is the LCM of 261, 402, 132, 22?

Answer: LCM of 261, 402, 132, 22 is 769428.

2. How to calculate the LCM of 261, 402, 132, 22?

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 261, 402, 132, 22.

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}.