LCM of 381, 895, 824, 663, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 895, 824, 663, 566 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 381, 895, 824, 663, 566. So, keep reading to learn more.
Given numbers are 381,895,824,663,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,895,824,663,566 is 17573324634840.
Find LCM of 381,895,824,663,566 with Prime Factorization
| 2 | 381, 895, 824, 663, 566 |
| 3 | 381, 895, 412, 663, 283 |
| 127, 895, 412, 221, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 895 x 412 x 221 x 283 = 17573324634840
Therefore, the lowest common multiple of 381,895,824,663,566 is 17573324634840.
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.
381 x 895 x 824 x 663 x 566 = 105439947809040
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.
381 : 1, 3, 127, 381
895 : 1, 5, 179, 895
824 : 1, 2, 4, 8, 103, 206, 412, 824
663 : 1, 3, 13, 17, 39, 51, 221, 663
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,895,824,663,566, is 1.
Now, the common factors can be found like this.
381:3x 127
895:5x 179
824:2x 2x 2x 103
663:3x 13x 17
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 105439947809040/(1x6)
LCM = 105439947809040/6
LCM = 17573324634840
Thus, we can understand that the LCM of 381,895,824,663,566 is 17573324634840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 381, 895, 824, 663, 566
1. What is the LCM of 381, 895, 824, 663, 566?
Answer: LCM of 381, 895, 824, 663, 566 is 17573324634840.
2. How to calculate the LCM of 381, 895, 824, 663, 566?
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 381, 895, 824, 663, 566.
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}.