LCM of 165, 355, 994, 276, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 355, 994, 276, 427 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 165, 355, 994, 276, 427. So, keep reading to learn more.
Given numbers are 165,355,994,276,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,355,994,276,427 is 460212060.
Find LCM of 165,355,994,276,427 with Prime Factorization
| 2 | 165, 355, 994, 276, 427 |
| 3 | 165, 355, 497, 138, 427 |
| 5 | 55, 355, 497, 46, 427 |
| 7 | 11, 71, 497, 46, 427 |
| 71 | 11, 71, 71, 46, 61 |
| 11, 1, 1, 46, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 71 x 11 x 1 x 1 x 46 x 61 = 460212060
Therefore, the lowest common multiple of 165,355,994,276,427 is 460212060.
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.
165 x 355 x 994 x 276 x 427 = 6861761814600
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
355 : 1, 5, 71, 355
994 : 1, 2, 7, 14, 71, 142, 497, 994
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,355,994,276,427, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
355:5x 71
994:2x 7x 71
276:2x 2x 3x 23
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 71 = 14910
Therefore, the value for common factors is 14910.
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 = 6861761814600/(1x14910)
LCM = 6861761814600/14910
LCM = 460212060
Thus, we can understand that the LCM of 165,355,994,276,427 is 460212060.
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FAQs on LCM of 165, 355, 994, 276, 427
1. What is the LCM of 165, 355, 994, 276, 427?
Answer: LCM of 165, 355, 994, 276, 427 is 460212060.
2. How to calculate the LCM of 165, 355, 994, 276, 427?
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 165, 355, 994, 276, 427.
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}.