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LCM of 152, 437, 388, 676, 183

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


Find the LCM of 152, 437, 388, 676, 183 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 152, 437, 388, 676, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,437,388,676,183

Given numbers are 152,437,388,676,183

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

The LCM of 152,437,388,676,183 is 10487716824.

Find LCM of 152,437,388,676,183 with Prime Factorization


2 152, 437, 388, 676, 183
2 76, 437, 194, 338, 183
19 38, 437, 97, 169, 183
2, 23, 97, 169, 183

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

2 x 2 x 19 x 2 x 23 x 97 x 169 x 183 = 10487716824

Therefore, the lowest common multiple of 152,437,388,676,183 is 10487716824.

LCM Formula to Find Lowest Common Multiple of 152,437,388,676,183

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.

152 x 437 x 388 x 676 x 183 = 3188265914496

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

437 : 1, 19, 23, 437

388 : 1, 2, 4, 97, 194, 388

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,437,388,676,183, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

437:19x 23

388:2x 2x 97

676:2x 2x 13x 13

183:3x 61

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 2x 2x 19 = 304

Therefore, the value for common factors is 304.

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 = 3188265914496/(1x304)

LCM = 3188265914496/304

LCM = 10487716824

Thus, we can understand that the LCM of 152,437,388,676,183 is 10487716824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 437, 388, 676, 183

1. What is the LCM of 152, 437, 388, 676, 183?

Answer: LCM of 152, 437, 388, 676, 183 is 10487716824.

2. How to calculate the LCM of 152, 437, 388, 676, 183?

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 152, 437, 388, 676, 183.

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}.