LCM of 504, 648, 309, 688, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 648, 309, 688, 924 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 504, 648, 309, 688, 924. So, keep reading to learn more.
Given numbers are 504,648,309,688,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,648,309,688,924 is 441978768.
Find LCM of 504,648,309,688,924 with Prime Factorization
| 2 | 504, 648, 309, 688, 924 |
| 2 | 252, 324, 309, 344, 462 |
| 2 | 126, 162, 309, 172, 231 |
| 3 | 63, 81, 309, 86, 231 |
| 3 | 21, 27, 103, 86, 77 |
| 7 | 7, 9, 103, 86, 77 |
| 1, 9, 103, 86, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 1 x 9 x 103 x 86 x 11 = 441978768
Therefore, the lowest common multiple of 504,648,309,688,924 is 441978768.
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.
504 x 648 x 309 x 688 x 924 = 64154102132736
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
309 : 1, 3, 103, 309
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,648,309,688,924, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
648:2x 2x 2x 3x 3x 3x 3
309:3x 103
688:2x 2x 2x 2x 43
924:2x 2x 3x 7x 11
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 2x 2x 3x 3x 3x 3x 7 = 145152
Therefore, the value for common factors is 145152.
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 = 64154102132736/(1x145152)
LCM = 64154102132736/145152
LCM = 441978768
Thus, we can understand that the LCM of 504,648,309,688,924 is 441978768.
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FAQs on LCM of 504, 648, 309, 688, 924
1. What is the LCM of 504, 648, 309, 688, 924?
Answer: LCM of 504, 648, 309, 688, 924 is 441978768.
2. How to calculate the LCM of 504, 648, 309, 688, 924?
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 504, 648, 309, 688, 924.
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}.