LCM of 873, 108, 297, 462, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 108, 297, 462, 959 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 873, 108, 297, 462, 959. So, keep reading to learn more.
Given numbers are 873,108,297,462,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,108,297,462,959 is 110511324.
Find LCM of 873,108,297,462,959 with Prime Factorization
| 2 | 873, 108, 297, 462, 959 |
| 3 | 873, 54, 297, 231, 959 |
| 3 | 291, 18, 99, 77, 959 |
| 3 | 97, 6, 33, 77, 959 |
| 7 | 97, 2, 11, 77, 959 |
| 11 | 97, 2, 11, 11, 137 |
| 97, 2, 1, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 11 x 97 x 2 x 1 x 1 x 137 = 110511324
Therefore, the lowest common multiple of 873,108,297,462,959 is 110511324.
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.
873 x 108 x 297 x 462 x 959 = 12406664300184
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.
873 : 1, 3, 9, 97, 291, 873
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
297 : 1, 3, 9, 11, 27, 33, 99, 297
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,108,297,462,959, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
108:2x 2x 3x 3x 3
297:3x 3x 3x 11
462:2x 3x 7x 11
959:7x 137
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 3x 3x 3x 3x 3x 7x 11 = 112266
Therefore, the value for common factors is 112266.
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 = 12406664300184/(1x112266)
LCM = 12406664300184/112266
LCM = 110511324
Thus, we can understand that the LCM of 873,108,297,462,959 is 110511324.
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FAQs on LCM of 873, 108, 297, 462, 959
1. What is the LCM of 873, 108, 297, 462, 959?
Answer: LCM of 873, 108, 297, 462, 959 is 110511324.
2. How to calculate the LCM of 873, 108, 297, 462, 959?
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 873, 108, 297, 462, 959.
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}.