LCM of 527, 265, 494, 969, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 265, 494, 969, 346 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 527, 265, 494, 969, 346. So, keep reading to learn more.
Given numbers are 527,265,494,969,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,265,494,969,346 is 35805586830.
Find LCM of 527,265,494,969,346 with Prime Factorization
| 2 | 527, 265, 494, 969, 346 |
| 17 | 527, 265, 247, 969, 173 |
| 19 | 31, 265, 247, 57, 173 |
| 31, 265, 13, 3, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 31 x 265 x 13 x 3 x 173 = 35805586830
Therefore, the lowest common multiple of 527,265,494,969,346 is 35805586830.
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.
527 x 265 x 494 x 969 x 346 = 23130409092180
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.
527 : 1, 17, 31, 527
265 : 1, 5, 53, 265
494 : 1, 2, 13, 19, 26, 38, 247, 494
969 : 1, 3, 17, 19, 51, 57, 323, 969
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,265,494,969,346, is 1.
Now, the common factors can be found like this.
527:17x 31
265:5x 53
494:2x 13x 19
969:3x 17x 19
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 19 = 646
Therefore, the value for common factors is 646.
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 = 23130409092180/(1x646)
LCM = 23130409092180/646
LCM = 35805586830
Thus, we can understand that the LCM of 527,265,494,969,346 is 35805586830.
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FAQs on LCM of 527, 265, 494, 969, 346
1. What is the LCM of 527, 265, 494, 969, 346?
Answer: LCM of 527, 265, 494, 969, 346 is 35805586830.
2. How to calculate the LCM of 527, 265, 494, 969, 346?
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 527, 265, 494, 969, 346.
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}.