LCM of 306, 352, 896, 651, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 352, 896, 651, 943 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 306, 352, 896, 651, 943. So, keep reading to learn more.
Given numbers are 306,352,896,651,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,352,896,651,943 is 44082428544.
Find LCM of 306,352,896,651,943 with Prime Factorization
| 2 | 306, 352, 896, 651, 943 |
| 2 | 153, 176, 448, 651, 943 |
| 2 | 153, 88, 224, 651, 943 |
| 2 | 153, 44, 112, 651, 943 |
| 2 | 153, 22, 56, 651, 943 |
| 3 | 153, 11, 28, 651, 943 |
| 7 | 51, 11, 28, 217, 943 |
| 51, 11, 4, 31, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 51 x 11 x 4 x 31 x 943 = 44082428544
Therefore, the lowest common multiple of 306,352,896,651,943 is 44082428544.
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.
306 x 352 x 896 x 651 x 943 = 59246783963136
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
651 : 1, 3, 7, 21, 31, 93, 217, 651
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,352,896,651,943, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
352:2x 2x 2x 2x 2x 11
896:2x 2x 2x 2x 2x 2x 2x 7
651:3x 7x 31
943:23x 41
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 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 59246783963136/(1x1344)
LCM = 59246783963136/1344
LCM = 44082428544
Thus, we can understand that the LCM of 306,352,896,651,943 is 44082428544.
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FAQs on LCM of 306, 352, 896, 651, 943
1. What is the LCM of 306, 352, 896, 651, 943?
Answer: LCM of 306, 352, 896, 651, 943 is 44082428544.
2. How to calculate the LCM of 306, 352, 896, 651, 943?
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 306, 352, 896, 651, 943.
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}.