LCM of 583, 763, 959, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 763, 959, 959 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, 763, 959, 959. So, keep reading to learn more.
Given numbers are 583,763,959,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,763,959,959 is 60941573.
Find LCM of 583,763,959,959 with Prime Factorization
| 7 | 583, 763, 959, 959 |
| 137 | 583, 109, 137, 137 |
| 583, 109, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 137 x 583 x 109 x 1 x 1 = 60941573
Therefore, the lowest common multiple of 583,763,959,959 is 60941573.
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 763 x 959 x 959 = 409100779549
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
763 : 1, 7, 109, 763
959 : 1, 7, 137, 959
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,763,959,959, is 1.
Now, the common factors can be found like this.
583:11x 53
763:7x 109
959:7x 137
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 137 = 6713
Therefore, the value for common factors is 6713.
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 = 409100779549/(1x6713)
LCM = 409100779549/6713
LCM = 60941573
Thus, we can understand that the LCM of 583,763,959,959 is 60941573.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 763, 959, 959
1. What is the LCM of 583, 763, 959, 959?
Answer: LCM of 583, 763, 959, 959 is 60941573.
2. How to calculate the LCM of 583, 763, 959, 959?
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, 763, 959, 959.
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}.