LCM of 581, 794, 644, 552, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 794, 644, 552, 759 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, 794, 644, 552, 759. So, keep reading to learn more.
Given numbers are 581,794,644,552,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,794,644,552,759 is 1400549304.
Find LCM of 581,794,644,552,759 with Prime Factorization
| 2 | 581, 794, 644, 552, 759 |
| 2 | 581, 397, 322, 276, 759 |
| 3 | 581, 397, 161, 138, 759 |
| 7 | 581, 397, 161, 46, 253 |
| 23 | 83, 397, 23, 46, 253 |
| 83, 397, 1, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 83 x 397 x 1 x 2 x 11 = 1400549304
Therefore, the lowest common multiple of 581,794,644,552,759 is 1400549304.
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 794 x 644 x 552 x 759 = 124469617745088
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
794 : 1, 2, 397, 794
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,794,644,552,759, is 1.
Now, the common factors can be found like this.
581:7x 83
794:2x 397
644:2x 2x 7x 23
552:2x 2x 2x 3x 23
759:3x 11x 23
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 23x 23 = 88872
Therefore, the value for common factors is 88872.
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 = 124469617745088/(1x88872)
LCM = 124469617745088/88872
LCM = 1400549304
Thus, we can understand that the LCM of 581,794,644,552,759 is 1400549304.
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FAQs on LCM of 581, 794, 644, 552, 759
1. What is the LCM of 581, 794, 644, 552, 759?
Answer: LCM of 581, 794, 644, 552, 759 is 1400549304.
2. How to calculate the LCM of 581, 794, 644, 552, 759?
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, 794, 644, 552, 759.
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}.