LCM of 852, 812, 676, 819, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 812, 676, 819, 146 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 852, 812, 676, 819, 146. So, keep reading to learn more.
Given numbers are 852,812,676,819,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,812,676,819,146 is 6401274516.
Find LCM of 852,812,676,819,146 with Prime Factorization
| 2 | 852, 812, 676, 819, 146 |
| 2 | 426, 406, 338, 819, 73 |
| 3 | 213, 203, 169, 819, 73 |
| 7 | 71, 203, 169, 273, 73 |
| 13 | 71, 29, 169, 39, 73 |
| 71, 29, 13, 3, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 71 x 29 x 13 x 3 x 73 = 6401274516
Therefore, the lowest common multiple of 852,812,676,819,146 is 6401274516.
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.
852 x 812 x 676 x 819 x 146 = 55921534171776
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,812,676,819,146, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
812:2x 2x 7x 29
676:2x 2x 13x 13
819:3x 3x 7x 13
146:2x 73
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 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 55921534171776/(1x8736)
LCM = 55921534171776/8736
LCM = 6401274516
Thus, we can understand that the LCM of 852,812,676,819,146 is 6401274516.
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FAQs on LCM of 852, 812, 676, 819, 146
1. What is the LCM of 852, 812, 676, 819, 146?
Answer: LCM of 852, 812, 676, 819, 146 is 6401274516.
2. How to calculate the LCM of 852, 812, 676, 819, 146?
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 852, 812, 676, 819, 146.
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}.