LCM of 581, 217, 840, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 217, 840, 744 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 581, 217, 840, 744. So, keep reading to learn more.
Given numbers are 581,217,840,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,217,840,744 is 2161320.
Find LCM of 581,217,840,744 with Prime Factorization
| 2 | 581, 217, 840, 744 |
| 2 | 581, 217, 420, 372 |
| 2 | 581, 217, 210, 186 |
| 3 | 581, 217, 105, 93 |
| 7 | 581, 217, 35, 31 |
| 31 | 83, 31, 5, 31 |
| 83, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 31 x 83 x 1 x 5 x 1 = 2161320
Therefore, the lowest common multiple of 581,217,840,744 is 2161320.
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.
581 x 217 x 840 x 744 = 78793081920
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.
581 : 1, 7, 83, 581
217 : 1, 7, 31, 217
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,217,840,744, is 1.
Now, the common factors can be found like this.
581:7x 83
217:7x 31
840:2x 2x 2x 3x 5x 7
744:2x 2x 2x 3x 31
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 7x 7x 31 = 36456
Therefore, the value for common factors is 36456.
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 = 78793081920/(1x36456)
LCM = 78793081920/36456
LCM = 2161320
Thus, we can understand that the LCM of 581,217,840,744 is 2161320.
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FAQs on LCM of 581, 217, 840, 744
1. What is the LCM of 581, 217, 840, 744?
Answer: LCM of 581, 217, 840, 744 is 2161320.
2. How to calculate the LCM of 581, 217, 840, 744?
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 581, 217, 840, 744.
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}.