LCM of 188, 824, 559, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 824, 559, 846 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 188, 824, 559, 846. So, keep reading to learn more.
Given numbers are 188,824,559,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,824,559,846 is 194840568.
Find LCM of 188,824,559,846 with Prime Factorization
| 2 | 188, 824, 559, 846 |
| 2 | 94, 412, 559, 423 |
| 47 | 47, 206, 559, 423 |
| 1, 206, 559, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 1 x 206 x 559 x 9 = 194840568
Therefore, the lowest common multiple of 188,824,559,846 is 194840568.
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.
188 x 824 x 559 x 846 = 73260053568
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.
188 : 1, 2, 4, 47, 94, 188
824 : 1, 2, 4, 8, 103, 206, 412, 824
559 : 1, 13, 43, 559
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,824,559,846, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
824:2x 2x 2x 103
559:13x 43
846:2x 3x 3x 47
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 47 = 376
Therefore, the value for common factors is 376.
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 = 73260053568/(1x376)
LCM = 73260053568/376
LCM = 194840568
Thus, we can understand that the LCM of 188,824,559,846 is 194840568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 188, 824, 559, 846
1. What is the LCM of 188, 824, 559, 846?
Answer: LCM of 188, 824, 559, 846 is 194840568.
2. How to calculate the LCM of 188, 824, 559, 846?
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 188, 824, 559, 846.
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}.