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LCM of 178, 311, 282, 132

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 178, 311, 282, 132 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 178, 311, 282, 132. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 178,311,282,132

Given numbers are 178,311,282,132

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

The LCM of 178,311,282,132 is 171720516.

Find LCM of 178,311,282,132 with Prime Factorization


2 178, 311, 282, 132
3 89, 311, 141, 66
89, 311, 47, 22

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

2 x 3 x 89 x 311 x 47 x 22 = 171720516

Therefore, the lowest common multiple of 178,311,282,132 is 171720516.

LCM Formula to Find Lowest Common Multiple of 178,311,282,132

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.

178 x 311 x 282 x 132 = 2060646192

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.

178 : 1, 2, 89, 178

311 : 1, 311

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,311,282,132, is 1.

Now, the common factors can be found like this.

178:2x 89

311:311

282:2x 3x 47

132:2x 2x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 2060646192/(1x12)

LCM = 2060646192/12

LCM = 171720516

Thus, we can understand that the LCM of 178,311,282,132 is 171720516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 178, 311, 282, 132

1. What is the LCM of 178, 311, 282, 132?

Answer: LCM of 178, 311, 282, 132 is 171720516.

2. How to calculate the LCM of 178, 311, 282, 132?

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 178, 311, 282, 132.

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}.