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LCM of 438, 662, 843, 436, 183

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


Find the LCM of 438, 662, 843, 436, 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 438, 662, 843, 436, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,662,843,436,183

Given numbers are 438,662,843,436,183

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

The LCM of 438,662,843,436,183 is 541744801764.

Find LCM of 438,662,843,436,183 with Prime Factorization


2 438, 662, 843, 436, 183
3 219, 331, 843, 218, 183
73, 331, 281, 218, 61

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

2 x 3 x 73 x 331 x 281 x 218 x 61 = 541744801764

Therefore, the lowest common multiple of 438,662,843,436,183 is 541744801764.

LCM Formula to Find Lowest Common Multiple of 438,662,843,436,183

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.

438 x 662 x 843 x 436 x 183 = 19502812863504

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

662 : 1, 2, 331, 662

843 : 1, 3, 281, 843

436 : 1, 2, 4, 109, 218, 436

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,662,843,436,183, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

662:2x 331

843:3x 281

436:2x 2x 109

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 19502812863504/(1x36)

LCM = 19502812863504/36

LCM = 541744801764

Thus, we can understand that the LCM of 438,662,843,436,183 is 541744801764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 662, 843, 436, 183

1. What is the LCM of 438, 662, 843, 436, 183?

Answer: LCM of 438, 662, 843, 436, 183 is 541744801764.

2. How to calculate the LCM of 438, 662, 843, 436, 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 438, 662, 843, 436, 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}.