LCM of 822, 220, 552, 418, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 220, 552, 418, 171 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 822, 220, 552, 418, 171. So, keep reading to learn more.
Given numbers are 822,220,552,418,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,220,552,418,171 is 237081240.
Find LCM of 822,220,552,418,171 with Prime Factorization
| 2 | 822, 220, 552, 418, 171 |
| 2 | 411, 110, 276, 209, 171 |
| 3 | 411, 55, 138, 209, 171 |
| 11 | 137, 55, 46, 209, 57 |
| 19 | 137, 5, 46, 19, 57 |
| 137, 5, 46, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 137 x 5 x 46 x 1 x 3 = 237081240
Therefore, the lowest common multiple of 822,220,552,418,171 is 237081240.
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.
822 x 220 x 552 x 418 x 171 = 7135196999040
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
418 : 1, 2, 11, 19, 22, 38, 209, 418
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,220,552,418,171, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
220:2x 2x 5x 11
552:2x 2x 2x 3x 23
418:2x 11x 19
171:3x 3x 19
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 3x 3x 11x 19 = 30096
Therefore, the value for common factors is 30096.
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 = 7135196999040/(1x30096)
LCM = 7135196999040/30096
LCM = 237081240
Thus, we can understand that the LCM of 822,220,552,418,171 is 237081240.
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FAQs on LCM of 822, 220, 552, 418, 171
1. What is the LCM of 822, 220, 552, 418, 171?
Answer: LCM of 822, 220, 552, 418, 171 is 237081240.
2. How to calculate the LCM of 822, 220, 552, 418, 171?
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 822, 220, 552, 418, 171.
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}.