LCM of 874, 416, 552, 969, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 416, 552, 969, 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 874, 416, 552, 969, 284. So, keep reading to learn more.
Given numbers are 874,416,552,969,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,416,552,969,284 is 658268832.
Find LCM of 874,416,552,969,284 with Prime Factorization
| 2 | 874, 416, 552, 969, 284 |
| 2 | 437, 208, 276, 969, 142 |
| 2 | 437, 104, 138, 969, 71 |
| 3 | 437, 52, 69, 969, 71 |
| 19 | 437, 52, 23, 323, 71 |
| 23 | 23, 52, 23, 17, 71 |
| 1, 52, 1, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 23 x 1 x 52 x 1 x 17 x 71 = 658268832
Therefore, the lowest common multiple of 874,416,552,969,284 is 658268832.
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.
874 x 416 x 552 x 969 x 284 = 55231388080128
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 874,416,552,969,284, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
416:2x 2x 2x 2x 2x 13
552:2x 2x 2x 3x 23
969:3x 17x 19
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 3x 19x 23 = 83904
Therefore, the value for common factors is 83904.
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 = 55231388080128/(1x83904)
LCM = 55231388080128/83904
LCM = 658268832
Thus, we can understand that the LCM of 874,416,552,969,284 is 658268832.
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FAQs on LCM of 874, 416, 552, 969, 284
1. What is the LCM of 874, 416, 552, 969, 284?
Answer: LCM of 874, 416, 552, 969, 284 is 658268832.
2. How to calculate the LCM of 874, 416, 552, 969, 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 874, 416, 552, 969, 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}.