LCM of 877, 440, 352, 144, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 440, 352, 144, 284 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 877, 440, 352, 144, 284. So, keep reading to learn more.
Given numbers are 877,440,352,144,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,440,352,144,284 is 986309280.
Find LCM of 877,440,352,144,284 with Prime Factorization
| 2 | 877, 440, 352, 144, 284 |
| 2 | 877, 220, 176, 72, 142 |
| 2 | 877, 110, 88, 36, 71 |
| 2 | 877, 55, 44, 18, 71 |
| 11 | 877, 55, 22, 9, 71 |
| 877, 5, 2, 9, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 877 x 5 x 2 x 9 x 71 = 986309280
Therefore, the lowest common multiple of 877,440,352,144,284 is 986309280.
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.
877 x 440 x 352 x 144 x 284 = 5554893864960
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.
877 : 1, 877
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,440,352,144,284, is 1.
Now, the common factors can be found like this.
877:877
440:2x 2x 2x 5x 11
352:2x 2x 2x 2x 2x 11
144:2x 2x 2x 2x 3x 3
284:2x 2x 71
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 2x 2x 2x 2x 2x 11 = 5632
Therefore, the value for common factors is 5632.
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 = 5554893864960/(1x5632)
LCM = 5554893864960/5632
LCM = 986309280
Thus, we can understand that the LCM of 877,440,352,144,284 is 986309280.
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FAQs on LCM of 877, 440, 352, 144, 284
1. What is the LCM of 877, 440, 352, 144, 284?
Answer: LCM of 877, 440, 352, 144, 284 is 986309280.
2. How to calculate the LCM of 877, 440, 352, 144, 284?
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 877, 440, 352, 144, 284.
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}.