LCM of 697, 954, 369, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 954, 369, 581 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 697, 954, 369, 581. So, keep reading to learn more.
Given numbers are 697,954,369,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,954,369,581 is 386328978.
Find LCM of 697,954,369,581 with Prime Factorization
| 3 | 697, 954, 369, 581 |
| 3 | 697, 318, 123, 581 |
| 41 | 697, 106, 41, 581 |
| 17, 106, 1, 581 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 17 x 106 x 1 x 581 = 386328978
Therefore, the lowest common multiple of 697,954,369,581 is 386328978.
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.
697 x 954 x 369 x 581 = 142555392882
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.
697 : 1, 17, 41, 697
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
369 : 1, 3, 9, 41, 123, 369
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,954,369,581, is 1.
Now, the common factors can be found like this.
697:17x 41
954:2x 3x 3x 53
369:3x 3x 41
581:7x 83
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 41 = 369
Therefore, the value for common factors is 369.
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 = 142555392882/(1x369)
LCM = 142555392882/369
LCM = 386328978
Thus, we can understand that the LCM of 697,954,369,581 is 386328978.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 954, 369, 581
1. What is the LCM of 697, 954, 369, 581?
Answer: LCM of 697, 954, 369, 581 is 386328978.
2. How to calculate the LCM of 697, 954, 369, 581?
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 697, 954, 369, 581.
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}.