LCM of 896, 781, 904, 671, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 781, 904, 671, 352 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 896, 781, 904, 671, 352. So, keep reading to learn more.
Given numbers are 896,781,904,671,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,781,904,671,352 is 4823555968.
Find LCM of 896,781,904,671,352 with Prime Factorization
| 2 | 896, 781, 904, 671, 352 |
| 2 | 448, 781, 452, 671, 176 |
| 2 | 224, 781, 226, 671, 88 |
| 2 | 112, 781, 113, 671, 44 |
| 2 | 56, 781, 113, 671, 22 |
| 11 | 28, 781, 113, 671, 11 |
| 28, 71, 113, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 28 x 71 x 113 x 61 x 1 = 4823555968
Therefore, the lowest common multiple of 896,781,904,671,352 is 4823555968.
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.
896 x 781 x 904 x 671 x 352 = 149414469664768
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
781 : 1, 11, 71, 781
904 : 1, 2, 4, 8, 113, 226, 452, 904
671 : 1, 11, 61, 671
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,781,904,671,352, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
781:11x 71
904:2x 2x 2x 113
671:11x 61
352:2x 2x 2x 2x 2x 11
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 11x 11 = 30976
Therefore, the value for common factors is 30976.
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 = 149414469664768/(1x30976)
LCM = 149414469664768/30976
LCM = 4823555968
Thus, we can understand that the LCM of 896,781,904,671,352 is 4823555968.
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FAQs on LCM of 896, 781, 904, 671, 352
1. What is the LCM of 896, 781, 904, 671, 352?
Answer: LCM of 896, 781, 904, 671, 352 is 4823555968.
2. How to calculate the LCM of 896, 781, 904, 671, 352?
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 896, 781, 904, 671, 352.
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}.