LCM of 954, 221, 611, 759, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 221, 611, 759, 986 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, 221, 611, 759, 986. So, keep reading to learn more.
Given numbers are 954,221,611,759,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,221,611,759,986 is 72703785726.
Find LCM of 954,221,611,759,986 with Prime Factorization
| 2 | 954, 221, 611, 759, 986 |
| 3 | 477, 221, 611, 759, 493 |
| 13 | 159, 221, 611, 253, 493 |
| 17 | 159, 17, 47, 253, 493 |
| 159, 1, 47, 253, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 159 x 1 x 47 x 253 x 29 = 72703785726
Therefore, the lowest common multiple of 954,221,611,759,986 is 72703785726.
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 221 x 611 x 759 x 986 = 96405219872676
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
221 : 1, 13, 17, 221
611 : 1, 13, 47, 611
759 : 1, 3, 11, 23, 33, 69, 253, 759
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,221,611,759,986, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
221:13x 17
611:13x 47
759:3x 11x 23
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 96405219872676/(1x1326)
LCM = 96405219872676/1326
LCM = 72703785726
Thus, we can understand that the LCM of 954,221,611,759,986 is 72703785726.
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FAQs on LCM of 954, 221, 611, 759, 986
1. What is the LCM of 954, 221, 611, 759, 986?
Answer: LCM of 954, 221, 611, 759, 986 is 72703785726.
2. How to calculate the LCM of 954, 221, 611, 759, 986?
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, 221, 611, 759, 986.
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}.