LCM of 552, 741, 387, 867, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 741, 387, 867, 272 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 552, 741, 387, 867, 272. So, keep reading to learn more.
Given numbers are 552,741,387,867,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,741,387,867,272 is 10166081328.
Find LCM of 552,741,387,867,272 with Prime Factorization
| 2 | 552, 741, 387, 867, 272 |
| 2 | 276, 741, 387, 867, 136 |
| 2 | 138, 741, 387, 867, 68 |
| 3 | 69, 741, 387, 867, 34 |
| 17 | 23, 247, 129, 289, 34 |
| 23, 247, 129, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 23 x 247 x 129 x 17 x 2 = 10166081328
Therefore, the lowest common multiple of 552,741,387,867,272 is 10166081328.
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.
552 x 741 x 387 x 867 x 272 = 37329850636416
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
741 : 1, 3, 13, 19, 39, 57, 247, 741
387 : 1, 3, 9, 43, 129, 387
867 : 1, 3, 17, 51, 289, 867
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,741,387,867,272, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
741:3x 13x 19
387:3x 3x 43
867:3x 17x 17
272:2x 2x 2x 2x 17
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 37329850636416/(1x3672)
LCM = 37329850636416/3672
LCM = 10166081328
Thus, we can understand that the LCM of 552,741,387,867,272 is 10166081328.
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FAQs on LCM of 552, 741, 387, 867, 272
1. What is the LCM of 552, 741, 387, 867, 272?
Answer: LCM of 552, 741, 387, 867, 272 is 10166081328.
2. How to calculate the LCM of 552, 741, 387, 867, 272?
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 552, 741, 387, 867, 272.
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}.