LCM of 571, 154, 192, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 154, 192, 924 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 571, 154, 192, 924. So, keep reading to learn more.
Given numbers are 571,154,192,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,154,192,924 is 8441664.
Find LCM of 571,154,192,924 with Prime Factorization
| 2 | 571, 154, 192, 924 |
| 2 | 571, 77, 96, 462 |
| 3 | 571, 77, 48, 231 |
| 7 | 571, 77, 16, 77 |
| 11 | 571, 11, 16, 11 |
| 571, 1, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 571 x 1 x 16 x 1 = 8441664
Therefore, the lowest common multiple of 571,154,192,924 is 8441664.
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.
571 x 154 x 192 x 924 = 15600195072
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.
571 : 1, 571
154 : 1, 2, 7, 11, 14, 22, 77, 154
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,154,192,924, is 1.
Now, the common factors can be found like this.
571:571
154:2x 7x 11
192:2x 2x 2x 2x 2x 2x 3
924:2x 2x 3x 7x 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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 15600195072/(1x1848)
LCM = 15600195072/1848
LCM = 8441664
Thus, we can understand that the LCM of 571,154,192,924 is 8441664.
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FAQs on LCM of 571, 154, 192, 924
1. What is the LCM of 571, 154, 192, 924?
Answer: LCM of 571, 154, 192, 924 is 8441664.
2. How to calculate the LCM of 571, 154, 192, 924?
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 571, 154, 192, 924.
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}.