LCM of 882, 288, 495, 383, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 288, 495, 383, 612 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 882, 288, 495, 383, 612. So, keep reading to learn more.
Given numbers are 882,288,495,383,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,288,495,383,612 is 5053577760.
Find LCM of 882,288,495,383,612 with Prime Factorization
| 2 | 882, 288, 495, 383, 612 |
| 2 | 441, 144, 495, 383, 306 |
| 3 | 441, 72, 495, 383, 153 |
| 3 | 147, 24, 165, 383, 51 |
| 49, 8, 55, 383, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 49 x 8 x 55 x 383 x 17 = 5053577760
Therefore, the lowest common multiple of 882,288,495,383,612 is 5053577760.
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.
882 x 288 x 495 x 383 x 612 = 29472465496320
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
383 : 1, 383
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,288,495,383,612, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
288:2x 2x 2x 2x 2x 3x 3
495:3x 3x 5x 11
383:383
612:2x 2x 3x 3x 17
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 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 29472465496320/(1x5832)
LCM = 29472465496320/5832
LCM = 5053577760
Thus, we can understand that the LCM of 882,288,495,383,612 is 5053577760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 882, 288, 495, 383, 612
1. What is the LCM of 882, 288, 495, 383, 612?
Answer: LCM of 882, 288, 495, 383, 612 is 5053577760.
2. How to calculate the LCM of 882, 288, 495, 383, 612?
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 882, 288, 495, 383, 612.
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}.