LCM of 616, 849, 706, 896, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 849, 706, 896, 464 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 616, 849, 706, 896, 464. So, keep reading to learn more.
Given numbers are 616,849,706,896,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,849,706,896,464 is 85660595328.
Find LCM of 616,849,706,896,464 with Prime Factorization
| 2 | 616, 849, 706, 896, 464 |
| 2 | 308, 849, 353, 448, 232 |
| 2 | 154, 849, 353, 224, 116 |
| 2 | 77, 849, 353, 112, 58 |
| 7 | 77, 849, 353, 56, 29 |
| 11, 849, 353, 8, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 11 x 849 x 353 x 8 x 29 = 85660595328
Therefore, the lowest common multiple of 616,849,706,896,464 is 85660595328.
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.
616 x 849 x 706 x 896 x 464 = 153503786827776
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
849 : 1, 3, 283, 849
706 : 1, 2, 353, 706
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,849,706,896,464, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
849:3x 283
706:2x 353
896:2x 2x 2x 2x 2x 2x 2x 7
464:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 153503786827776/(1x1792)
LCM = 153503786827776/1792
LCM = 85660595328
Thus, we can understand that the LCM of 616,849,706,896,464 is 85660595328.
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FAQs on LCM of 616, 849, 706, 896, 464
1. What is the LCM of 616, 849, 706, 896, 464?
Answer: LCM of 616, 849, 706, 896, 464 is 85660595328.
2. How to calculate the LCM of 616, 849, 706, 896, 464?
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 616, 849, 706, 896, 464.
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}.