LCM of 652, 774, 946, 849, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 774, 946, 849, 592 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 652, 774, 946, 849, 592. So, keep reading to learn more.
Given numbers are 652,774,946,849,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,774,946,849,592 is 116251722576.
Find LCM of 652,774,946,849,592 with Prime Factorization
| 2 | 652, 774, 946, 849, 592 |
| 2 | 326, 387, 473, 849, 296 |
| 3 | 163, 387, 473, 849, 148 |
| 43 | 163, 129, 473, 283, 148 |
| 163, 3, 11, 283, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 163 x 3 x 11 x 283 x 148 = 116251722576
Therefore, the lowest common multiple of 652,774,946,849,592 is 116251722576.
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.
652 x 774 x 946 x 849 x 592 = 239943555396864
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.
652 : 1, 2, 4, 163, 326, 652
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
946 : 1, 2, 11, 22, 43, 86, 473, 946
849 : 1, 3, 283, 849
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,774,946,849,592, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
774:2x 3x 3x 43
946:2x 11x 43
849:3x 283
592:2x 2x 2x 2x 37
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 3x 43 = 2064
Therefore, the value for common factors is 2064.
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 = 239943555396864/(1x2064)
LCM = 239943555396864/2064
LCM = 116251722576
Thus, we can understand that the LCM of 652,774,946,849,592 is 116251722576.
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FAQs on LCM of 652, 774, 946, 849, 592
1. What is the LCM of 652, 774, 946, 849, 592?
Answer: LCM of 652, 774, 946, 849, 592 is 116251722576.
2. How to calculate the LCM of 652, 774, 946, 849, 592?
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 652, 774, 946, 849, 592.
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}.