LCM of 676, 835, 354, 730, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 835, 354, 730, 819 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 676, 835, 354, 730, 819. So, keep reading to learn more.
Given numbers are 676,835,354,730,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,835,354,730,819 is 153161140860.
Find LCM of 676,835,354,730,819 with Prime Factorization
| 2 | 676, 835, 354, 730, 819 |
| 3 | 338, 835, 177, 365, 819 |
| 5 | 338, 835, 59, 365, 273 |
| 13 | 338, 167, 59, 73, 273 |
| 26, 167, 59, 73, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 26 x 167 x 59 x 73 x 21 = 153161140860
Therefore, the lowest common multiple of 676,835,354,730,819 is 153161140860.
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.
676 x 835 x 354 x 730 x 819 = 119465689870800
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
835 : 1, 5, 167, 835
354 : 1, 2, 3, 6, 59, 118, 177, 354
730 : 1, 2, 5, 10, 73, 146, 365, 730
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,835,354,730,819, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
835:5x 167
354:2x 3x 59
730:2x 5x 73
819:3x 3x 7x 13
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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 119465689870800/(1x780)
LCM = 119465689870800/780
LCM = 153161140860
Thus, we can understand that the LCM of 676,835,354,730,819 is 153161140860.
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FAQs on LCM of 676, 835, 354, 730, 819
1. What is the LCM of 676, 835, 354, 730, 819?
Answer: LCM of 676, 835, 354, 730, 819 is 153161140860.
2. How to calculate the LCM of 676, 835, 354, 730, 819?
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 676, 835, 354, 730, 819.
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}.