LCM of 954, 711, 583, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 711, 583, 583 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 954, 711, 583, 583. So, keep reading to learn more.
Given numbers are 954,711,583,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,711,583,583 is 829026.
Find LCM of 954,711,583,583 with Prime Factorization
| 3 | 954, 711, 583, 583 |
| 3 | 318, 237, 583, 583 |
| 11 | 106, 79, 583, 583 |
| 53 | 106, 79, 53, 53 |
| 2, 79, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 53 x 2 x 79 x 1 x 1 = 829026
Therefore, the lowest common multiple of 954,711,583,583 is 829026.
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.
954 x 711 x 583 x 583 = 230544669366
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
711 : 1, 3, 9, 79, 237, 711
583 : 1, 11, 53, 583
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,711,583,583, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
711:3x 3x 79
583:11x 53
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 53x 53 = 278091
Therefore, the value for common factors is 278091.
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 = 230544669366/(1x278091)
LCM = 230544669366/278091
LCM = 829026
Thus, we can understand that the LCM of 954,711,583,583 is 829026.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 954, 711, 583, 583
1. What is the LCM of 954, 711, 583, 583?
Answer: LCM of 954, 711, 583, 583 is 829026.
2. How to calculate the LCM of 954, 711, 583, 583?
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 954, 711, 583, 583.
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}.