LCM of 845, 506, 702, 676, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 506, 702, 676, 324 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 845, 506, 702, 676, 324. So, keep reading to learn more.
Given numbers are 845,506,702,676,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,506,702,676,324 is 69266340.
Find LCM of 845,506,702,676,324 with Prime Factorization
| 2 | 845, 506, 702, 676, 324 |
| 2 | 845, 253, 351, 338, 162 |
| 3 | 845, 253, 351, 169, 81 |
| 3 | 845, 253, 117, 169, 27 |
| 3 | 845, 253, 39, 169, 9 |
| 13 | 845, 253, 13, 169, 3 |
| 13 | 65, 253, 1, 13, 3 |
| 5, 253, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 13 x 13 x 5 x 253 x 1 x 1 x 3 = 69266340
Therefore, the lowest common multiple of 845,506,702,676,324 is 69266340.
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.
845 x 506 x 702 x 676 x 324 = 65740960359360
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.
845 : 1, 5, 13, 65, 169, 845
506 : 1, 2, 11, 22, 23, 46, 253, 506
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,506,702,676,324, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
506:2x 11x 23
702:2x 3x 3x 3x 13
676:2x 2x 13x 13
324:2x 2x 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 3x 3x 3x 13x 13x 13 = 949104
Therefore, the value for common factors is 949104.
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 = 65740960359360/(1x949104)
LCM = 65740960359360/949104
LCM = 69266340
Thus, we can understand that the LCM of 845,506,702,676,324 is 69266340.
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FAQs on LCM of 845, 506, 702, 676, 324
1. What is the LCM of 845, 506, 702, 676, 324?
Answer: LCM of 845, 506, 702, 676, 324 is 69266340.
2. How to calculate the LCM of 845, 506, 702, 676, 324?
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 845, 506, 702, 676, 324.
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}.