LCM of 289, 452, 901, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 452, 901, 113 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 289, 452, 901, 113. So, keep reading to learn more.
Given numbers are 289,452,901,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,452,901,113 is 6923284.
Find LCM of 289,452,901,113 with Prime Factorization
| 17 | 289, 452, 901, 113 |
| 113 | 17, 452, 53, 113 |
| 17, 4, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 113 x 17 x 4 x 53 x 1 = 6923284
Therefore, the lowest common multiple of 289,452,901,113 is 6923284.
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.
289 x 452 x 901 x 113 = 13299628564
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.
289 : 1, 17, 289
452 : 1, 2, 4, 113, 226, 452
901 : 1, 17, 53, 901
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,452,901,113, is 1.
Now, the common factors can be found like this.
289:17x 17
452:2x 2x 113
901:17x 53
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 113 = 1921
Therefore, the value for common factors is 1921.
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 = 13299628564/(1x1921)
LCM = 13299628564/1921
LCM = 6923284
Thus, we can understand that the LCM of 289,452,901,113 is 6923284.
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FAQs on LCM of 289, 452, 901, 113
1. What is the LCM of 289, 452, 901, 113?
Answer: LCM of 289, 452, 901, 113 is 6923284.
2. How to calculate the LCM of 289, 452, 901, 113?
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 289, 452, 901, 113.
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}.