LCM of 884, 414, 169, 517, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 414, 169, 517, 257 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 884, 414, 169, 517, 257. So, keep reading to learn more.
Given numbers are 884,414,169,517,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,414,169,517,257 is 316074623436.
Find LCM of 884,414,169,517,257 with Prime Factorization
| 2 | 884, 414, 169, 517, 257 |
| 13 | 442, 207, 169, 517, 257 |
| 34, 207, 13, 517, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 34 x 207 x 13 x 517 x 257 = 316074623436
Therefore, the lowest common multiple of 884,414,169,517,257 is 316074623436.
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.
884 x 414 x 169 x 517 x 257 = 8217940209336
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
169 : 1, 13, 169
517 : 1, 11, 47, 517
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,414,169,517,257, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
414:2x 3x 3x 23
169:13x 13
517:11x 47
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 8217940209336/(1x26)
LCM = 8217940209336/26
LCM = 316074623436
Thus, we can understand that the LCM of 884,414,169,517,257 is 316074623436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 414, 169, 517, 257
1. What is the LCM of 884, 414, 169, 517, 257?
Answer: LCM of 884, 414, 169, 517, 257 is 316074623436.
2. How to calculate the LCM of 884, 414, 169, 517, 257?
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 884, 414, 169, 517, 257.
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}.