LCM of 583, 988, 532, 973, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 988, 532, 973, 412 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 583, 988, 532, 973, 412. So, keep reading to learn more.
Given numbers are 583,988,532,973,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,988,532,973,412 is 57726544876.
Find LCM of 583,988,532,973,412 with Prime Factorization
| 2 | 583, 988, 532, 973, 412 |
| 2 | 583, 494, 266, 973, 206 |
| 7 | 583, 247, 133, 973, 103 |
| 19 | 583, 247, 19, 139, 103 |
| 583, 13, 1, 139, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 583 x 13 x 1 x 139 x 103 = 57726544876
Therefore, the lowest common multiple of 583,988,532,973,412 is 57726544876.
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.
583 x 988 x 532 x 973 x 412 = 122842087496128
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.
583 : 1, 11, 53, 583
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
973 : 1, 7, 139, 973
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,988,532,973,412, is 1.
Now, the common factors can be found like this.
583:11x 53
988:2x 2x 13x 19
532:2x 2x 7x 19
973:7x 139
412:2x 2x 103
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 2x 7x 19 = 2128
Therefore, the value for common factors is 2128.
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 = 122842087496128/(1x2128)
LCM = 122842087496128/2128
LCM = 57726544876
Thus, we can understand that the LCM of 583,988,532,973,412 is 57726544876.
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FAQs on LCM of 583, 988, 532, 973, 412
1. What is the LCM of 583, 988, 532, 973, 412?
Answer: LCM of 583, 988, 532, 973, 412 is 57726544876.
2. How to calculate the LCM of 583, 988, 532, 973, 412?
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 583, 988, 532, 973, 412.
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}.