LCM of 736, 832, 989, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 832, 989, 896 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 736, 832, 989, 896. So, keep reading to learn more.
Given numbers are 736,832,989,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,832,989,896 is 11519872.
Find LCM of 736,832,989,896 with Prime Factorization
| 2 | 736, 832, 989, 896 |
| 2 | 368, 416, 989, 448 |
| 2 | 184, 208, 989, 224 |
| 2 | 92, 104, 989, 112 |
| 2 | 46, 52, 989, 56 |
| 2 | 23, 26, 989, 28 |
| 23 | 23, 13, 989, 14 |
| 1, 13, 43, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 23 x 1 x 13 x 43 x 14 = 11519872
Therefore, the lowest common multiple of 736,832,989,896 is 11519872.
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.
736 x 832 x 989 x 896 = 542632050688
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
989 : 1, 23, 43, 989
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,832,989,896, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
832:2x 2x 2x 2x 2x 2x 13
989:23x 43
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 2x 2x 23 = 47104
Therefore, the value for common factors is 47104.
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 = 542632050688/(1x47104)
LCM = 542632050688/47104
LCM = 11519872
Thus, we can understand that the LCM of 736,832,989,896 is 11519872.
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FAQs on LCM of 736, 832, 989, 896
1. What is the LCM of 736, 832, 989, 896?
Answer: LCM of 736, 832, 989, 896 is 11519872.
2. How to calculate the LCM of 736, 832, 989, 896?
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 736, 832, 989, 896.
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}.