LCM of 926, 385, 223, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 385, 223, 462 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 926, 385, 223, 462. So, keep reading to learn more.
Given numbers are 926,385,223,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,385,223,462 is 238505190.
Find LCM of 926,385,223,462 with Prime Factorization
| 2 | 926, 385, 223, 462 |
| 7 | 463, 385, 223, 231 |
| 11 | 463, 55, 223, 33 |
| 463, 5, 223, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 463 x 5 x 223 x 3 = 238505190
Therefore, the lowest common multiple of 926,385,223,462 is 238505190.
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.
926 x 385 x 223 x 462 = 36729799260
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.
926 : 1, 2, 463, 926
385 : 1, 5, 7, 11, 35, 55, 77, 385
223 : 1, 223
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,385,223,462, is 1.
Now, the common factors can be found like this.
926:2x 463
385:5x 7x 11
223:223
462:2x 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 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 36729799260/(1x154)
LCM = 36729799260/154
LCM = 238505190
Thus, we can understand that the LCM of 926,385,223,462 is 238505190.
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FAQs on LCM of 926, 385, 223, 462
1. What is the LCM of 926, 385, 223, 462?
Answer: LCM of 926, 385, 223, 462 is 238505190.
2. How to calculate the LCM of 926, 385, 223, 462?
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 926, 385, 223, 462.
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}.