LCM of 228, 525, 149, 341, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 525, 149, 341, 776 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 228, 525, 149, 341, 776. So, keep reading to learn more.
Given numbers are 228,525,149,341,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,525,149,341,776 is 393292145400.
Find LCM of 228,525,149,341,776 with Prime Factorization
| 2 | 228, 525, 149, 341, 776 |
| 2 | 114, 525, 149, 341, 388 |
| 3 | 57, 525, 149, 341, 194 |
| 19, 175, 149, 341, 194 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 175 x 149 x 341 x 194 = 393292145400
Therefore, the lowest common multiple of 228,525,149,341,776 is 393292145400.
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.
228 x 525 x 149 x 341 x 776 = 4719505744800
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
149 : 1, 149
341 : 1, 11, 31, 341
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,525,149,341,776, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
525:3x 5x 5x 7
149:149
341:11x 31
776:2x 2x 2x 97
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4719505744800/(1x12)
LCM = 4719505744800/12
LCM = 393292145400
Thus, we can understand that the LCM of 228,525,149,341,776 is 393292145400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 525, 149, 341, 776
1. What is the LCM of 228, 525, 149, 341, 776?
Answer: LCM of 228, 525, 149, 341, 776 is 393292145400.
2. How to calculate the LCM of 228, 525, 149, 341, 776?
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 228, 525, 149, 341, 776.
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}.