LCM of 341, 806, 699, 837, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 806, 699, 837, 676 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 341, 806, 699, 837, 676. So, keep reading to learn more.
Given numbers are 341,806,699,837,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,806,699,837,676 is 1450176156.
Find LCM of 341,806,699,837,676 with Prime Factorization
| 2 | 341, 806, 699, 837, 676 |
| 3 | 341, 403, 699, 837, 338 |
| 13 | 341, 403, 233, 279, 338 |
| 31 | 341, 31, 233, 279, 26 |
| 11, 1, 233, 9, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 31 x 11 x 1 x 233 x 9 x 26 = 1450176156
Therefore, the lowest common multiple of 341,806,699,837,676 is 1450176156.
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.
341 x 806 x 699 x 837 x 676 = 108702304301448
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.
341 : 1, 11, 31, 341
806 : 1, 2, 13, 26, 31, 62, 403, 806
699 : 1, 3, 233, 699
837 : 1, 3, 9, 27, 31, 93, 279, 837
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,806,699,837,676, is 1.
Now, the common factors can be found like this.
341:11x 31
806:2x 13x 31
699:3x 233
837:3x 3x 3x 31
676:2x 2x 13x 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 3x 13x 31x 31 = 74958
Therefore, the value for common factors is 74958.
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 = 108702304301448/(1x74958)
LCM = 108702304301448/74958
LCM = 1450176156
Thus, we can understand that the LCM of 341,806,699,837,676 is 1450176156.
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FAQs on LCM of 341, 806, 699, 837, 676
1. What is the LCM of 341, 806, 699, 837, 676?
Answer: LCM of 341, 806, 699, 837, 676 is 1450176156.
2. How to calculate the LCM of 341, 806, 699, 837, 676?
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 341, 806, 699, 837, 676.
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}.