LCM of 409, 676, 837, 169, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 676, 837, 169, 914 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 409, 676, 837, 169, 914. So, keep reading to learn more.
Given numbers are 409,676,837,169,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,676,837,169,914 is 105757618356.
Find LCM of 409,676,837,169,914 with Prime Factorization
| 2 | 409, 676, 837, 169, 914 |
| 13 | 409, 338, 837, 169, 457 |
| 13 | 409, 26, 837, 13, 457 |
| 409, 2, 837, 1, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 409 x 2 x 837 x 1 x 457 = 105757618356
Therefore, the lowest common multiple of 409,676,837,169,914 is 105757618356.
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.
409 x 676 x 837 x 169 x 914 = 35746075004328
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.
409 : 1, 409
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
837 : 1, 3, 9, 27, 31, 93, 279, 837
169 : 1, 13, 169
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,676,837,169,914, is 1.
Now, the common factors can be found like this.
409:409
676:2x 2x 13x 13
837:3x 3x 3x 31
169:13x 13
914:2x 457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 35746075004328/(1x338)
LCM = 35746075004328/338
LCM = 105757618356
Thus, we can understand that the LCM of 409,676,837,169,914 is 105757618356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 676, 837, 169, 914
1. What is the LCM of 409, 676, 837, 169, 914?
Answer: LCM of 409, 676, 837, 169, 914 is 105757618356.
2. How to calculate the LCM of 409, 676, 837, 169, 914?
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 409, 676, 837, 169, 914.
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}.