LCM of 344, 156, 817, 858, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 156, 817, 858, 691 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 344, 156, 817, 858, 691. So, keep reading to learn more.
Given numbers are 344,156,817,858,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,156,817,858,691 is 1937525304.
Find LCM of 344,156,817,858,691 with Prime Factorization
| 2 | 344, 156, 817, 858, 691 |
| 2 | 172, 78, 817, 429, 691 |
| 3 | 86, 39, 817, 429, 691 |
| 13 | 86, 13, 817, 143, 691 |
| 43 | 86, 1, 817, 11, 691 |
| 2, 1, 19, 11, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 43 x 2 x 1 x 19 x 11 x 691 = 1937525304
Therefore, the lowest common multiple of 344,156,817,858,691 is 1937525304.
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.
344 x 156 x 817 x 858 x 691 = 25993839478464
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
817 : 1, 19, 43, 817
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,156,817,858,691, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
156:2x 2x 3x 13
817:19x 43
858:2x 3x 11x 13
691:691
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 3x 13x 43 = 13416
Therefore, the value for common factors is 13416.
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 = 25993839478464/(1x13416)
LCM = 25993839478464/13416
LCM = 1937525304
Thus, we can understand that the LCM of 344,156,817,858,691 is 1937525304.
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FAQs on LCM of 344, 156, 817, 858, 691
1. What is the LCM of 344, 156, 817, 858, 691?
Answer: LCM of 344, 156, 817, 858, 691 is 1937525304.
2. How to calculate the LCM of 344, 156, 817, 858, 691?
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 344, 156, 817, 858, 691.
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}.