LCM of 880, 527, 535, 217, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 527, 535, 217, 414 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 880, 527, 535, 217, 414. So, keep reading to learn more.
Given numbers are 880,527,535,217,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,527,535,217,414 is 71902741680.
Find LCM of 880,527,535,217,414 with Prime Factorization
| 2 | 880, 527, 535, 217, 414 |
| 5 | 440, 527, 535, 217, 207 |
| 31 | 88, 527, 107, 217, 207 |
| 88, 17, 107, 7, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 88 x 17 x 107 x 7 x 207 = 71902741680
Therefore, the lowest common multiple of 880,527,535,217,414 is 71902741680.
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.
880 x 527 x 535 x 217 x 414 = 22289849920800
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
527 : 1, 17, 31, 527
535 : 1, 5, 107, 535
217 : 1, 7, 31, 217
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,527,535,217,414, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
527:17x 31
535:5x 107
217:7x 31
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 31 = 310
Therefore, the value for common factors is 310.
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 = 22289849920800/(1x310)
LCM = 22289849920800/310
LCM = 71902741680
Thus, we can understand that the LCM of 880,527,535,217,414 is 71902741680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 880, 527, 535, 217, 414
1. What is the LCM of 880, 527, 535, 217, 414?
Answer: LCM of 880, 527, 535, 217, 414 is 71902741680.
2. How to calculate the LCM of 880, 527, 535, 217, 414?
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 880, 527, 535, 217, 414.
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}.