LCM of 408, 732, 741, 612, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 732, 741, 612, 972 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 408, 732, 741, 612, 972. So, keep reading to learn more.
Given numbers are 408,732,741,612,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,732,741,612,972 is 497934216.
Find LCM of 408,732,741,612,972 with Prime Factorization
| 2 | 408, 732, 741, 612, 972 |
| 2 | 204, 366, 741, 306, 486 |
| 3 | 102, 183, 741, 153, 243 |
| 3 | 34, 61, 247, 51, 81 |
| 17 | 34, 61, 247, 17, 27 |
| 2, 61, 247, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 2 x 61 x 247 x 1 x 27 = 497934216
Therefore, the lowest common multiple of 408,732,741,612,972 is 497934216.
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.
408 x 732 x 741 x 612 x 972 = 131645839762944
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
741 : 1, 3, 13, 19, 39, 57, 247, 741
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,732,741,612,972, is 3.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
732:2x 2x 3x 61
741:3x 13x 19
612:2x 2x 3x 3x 17
972:2x 2x 3x 3x 3x 3x 3
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 2x 2x 3x 3x 3x 3x 17 = 88128
Therefore, the value for common factors is 88128.
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 = 131645839762944/(3x88128)
LCM = 131645839762944/264384
LCM = 497934216
Thus, we can understand that the LCM of 408,732,741,612,972 is 497934216.
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FAQs on LCM of 408, 732, 741, 612, 972
1. What is the LCM of 408, 732, 741, 612, 972?
Answer: LCM of 408, 732, 741, 612, 972 is 497934216.
2. How to calculate the LCM of 408, 732, 741, 612, 972?
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 408, 732, 741, 612, 972.
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}.