LCM of 567, 405, 542, 432, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 405, 542, 432, 314 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 567, 405, 542, 432, 314. So, keep reading to learn more.
Given numbers are 567,405,542,432,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,405,542,432,314 is 1929931920.
Find LCM of 567,405,542,432,314 with Prime Factorization
| 2 | 567, 405, 542, 432, 314 |
| 3 | 567, 405, 271, 216, 157 |
| 3 | 189, 135, 271, 72, 157 |
| 3 | 63, 45, 271, 24, 157 |
| 3 | 21, 15, 271, 8, 157 |
| 7, 5, 271, 8, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 7 x 5 x 271 x 8 x 157 = 1929931920
Therefore, the lowest common multiple of 567,405,542,432,314 is 1929931920.
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.
567 x 405 x 542 x 432 x 314 = 16883044436160
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
542 : 1, 2, 271, 542
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,405,542,432,314, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
405:3x 3x 3x 3x 5
542:2x 271
432:2x 2x 2x 2x 3x 3x 3
314:2x 157
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 3x 3x 3x 3x 3x 3x 3 = 8748
Therefore, the value for common factors is 8748.
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 = 16883044436160/(1x8748)
LCM = 16883044436160/8748
LCM = 1929931920
Thus, we can understand that the LCM of 567,405,542,432,314 is 1929931920.
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FAQs on LCM of 567, 405, 542, 432, 314
1. What is the LCM of 567, 405, 542, 432, 314?
Answer: LCM of 567, 405, 542, 432, 314 is 1929931920.
2. How to calculate the LCM of 567, 405, 542, 432, 314?
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 567, 405, 542, 432, 314.
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}.