LCM of 736, 183, 896, 460, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 183, 896, 460, 795 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, 183, 896, 460, 795. So, keep reading to learn more.
Given numbers are 736,183,896,460,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,183,896,460,795 is 999384960.
Find LCM of 736,183,896,460,795 with Prime Factorization
| 2 | 736, 183, 896, 460, 795 |
| 2 | 368, 183, 448, 230, 795 |
| 2 | 184, 183, 224, 115, 795 |
| 2 | 92, 183, 112, 115, 795 |
| 2 | 46, 183, 56, 115, 795 |
| 3 | 23, 183, 28, 115, 795 |
| 5 | 23, 61, 28, 115, 265 |
| 23 | 23, 61, 28, 23, 53 |
| 1, 61, 28, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 1 x 61 x 28 x 1 x 53 = 999384960
Therefore, the lowest common multiple of 736,183,896,460,795 is 999384960.
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 183 x 896 x 460 x 795 = 44132839833600
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
183 : 1, 3, 61, 183
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,183,896,460,795, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
183:3x 61
896:2x 2x 2x 2x 2x 2x 2x 7
460:2x 2x 5x 23
795:3x 5x 53
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 3x 5x 23 = 44160
Therefore, the value for common factors is 44160.
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 = 44132839833600/(1x44160)
LCM = 44132839833600/44160
LCM = 999384960
Thus, we can understand that the LCM of 736,183,896,460,795 is 999384960.
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FAQs on LCM of 736, 183, 896, 460, 795
1. What is the LCM of 736, 183, 896, 460, 795?
Answer: LCM of 736, 183, 896, 460, 795 is 999384960.
2. How to calculate the LCM of 736, 183, 896, 460, 795?
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, 183, 896, 460, 795.
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}.