LCM of 154, 696, 456, 512, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 696, 456, 512, 921 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 154, 696, 456, 512, 921. So, keep reading to learn more.
Given numbers are 154,696,456,512,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,696,456,512,921 is 20006536704.
Find LCM of 154,696,456,512,921 with Prime Factorization
| 2 | 154, 696, 456, 512, 921 |
| 2 | 77, 348, 228, 256, 921 |
| 2 | 77, 174, 114, 128, 921 |
| 3 | 77, 87, 57, 64, 921 |
| 77, 29, 19, 64, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 77 x 29 x 19 x 64 x 307 = 20006536704
Therefore, the lowest common multiple of 154,696,456,512,921 is 20006536704.
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.
154 x 696 x 456 x 512 x 921 = 23047530283008
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,696,456,512,921, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
696:2x 2x 2x 3x 29
456:2x 2x 2x 3x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
921:3x 307
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 3 = 1152
Therefore, the value for common factors is 1152.
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 = 23047530283008/(1x1152)
LCM = 23047530283008/1152
LCM = 20006536704
Thus, we can understand that the LCM of 154,696,456,512,921 is 20006536704.
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FAQs on LCM of 154, 696, 456, 512, 921
1. What is the LCM of 154, 696, 456, 512, 921?
Answer: LCM of 154, 696, 456, 512, 921 is 20006536704.
2. How to calculate the LCM of 154, 696, 456, 512, 921?
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 154, 696, 456, 512, 921.
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}.