LCM of 412, 391, 116, 270, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 391, 116, 270, 564 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 412, 391, 116, 270, 564. So, keep reading to learn more.
Given numbers are 412,391,116,270,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,391,116,270,564 is 29641733460.
Find LCM of 412,391,116,270,564 with Prime Factorization
| 2 | 412, 391, 116, 270, 564 |
| 2 | 206, 391, 58, 135, 282 |
| 3 | 103, 391, 29, 135, 141 |
| 103, 391, 29, 45, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 391 x 29 x 45 x 47 = 29641733460
Therefore, the lowest common multiple of 412,391,116,270,564 is 29641733460.
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.
412 x 391 x 116 x 270 x 564 = 2845606412160
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.
412 : 1, 2, 4, 103, 206, 412
391 : 1, 17, 23, 391
116 : 1, 2, 4, 29, 58, 116
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,391,116,270,564, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
391:17x 23
116:2x 2x 29
270:2x 3x 3x 3x 5
564:2x 2x 3x 47
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 3 = 96
Therefore, the value for common factors is 96.
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 = 2845606412160/(1x96)
LCM = 2845606412160/96
LCM = 29641733460
Thus, we can understand that the LCM of 412,391,116,270,564 is 29641733460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 391, 116, 270, 564
1. What is the LCM of 412, 391, 116, 270, 564?
Answer: LCM of 412, 391, 116, 270, 564 is 29641733460.
2. How to calculate the LCM of 412, 391, 116, 270, 564?
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 412, 391, 116, 270, 564.
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}.