LCM of 289, 817, 276, 624, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 817, 276, 624, 943 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, 817, 276, 624, 943. So, keep reading to learn more.
Given numbers are 289,817,276,624,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,817,276,624,943 is 138936444816.
Find LCM of 289,817,276,624,943 with Prime Factorization
| 2 | 289, 817, 276, 624, 943 |
| 2 | 289, 817, 138, 312, 943 |
| 3 | 289, 817, 69, 156, 943 |
| 23 | 289, 817, 23, 52, 943 |
| 289, 817, 1, 52, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 289 x 817 x 1 x 52 x 41 = 138936444816
Therefore, the lowest common multiple of 289,817,276,624,943 is 138936444816.
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 817 x 276 x 624 x 943 = 38346458769216
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
817 : 1, 19, 43, 817
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,817,276,624,943, is 1.
Now, the common factors can be found like this.
289:17x 17
817:19x 43
276:2x 2x 3x 23
624:2x 2x 2x 2x 3x 13
943:23x 41
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 38346458769216/(1x276)
LCM = 38346458769216/276
LCM = 138936444816
Thus, we can understand that the LCM of 289,817,276,624,943 is 138936444816.
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FAQs on LCM of 289, 817, 276, 624, 943
1. What is the LCM of 289, 817, 276, 624, 943?
Answer: LCM of 289, 817, 276, 624, 943 is 138936444816.
2. How to calculate the LCM of 289, 817, 276, 624, 943?
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, 817, 276, 624, 943.
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}.