LCM of 132, 667, 416, 841, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 667, 416, 841, 308 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 132, 667, 416, 841, 308. So, keep reading to learn more.
Given numbers are 132,667,416,841,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,667,416,841,308 is 1858784928.
Find LCM of 132,667,416,841,308 with Prime Factorization
| 2 | 132, 667, 416, 841, 308 |
| 2 | 66, 667, 208, 841, 154 |
| 11 | 33, 667, 104, 841, 77 |
| 29 | 3, 667, 104, 841, 7 |
| 3, 23, 104, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 3 x 23 x 104 x 29 x 7 = 1858784928
Therefore, the lowest common multiple of 132,667,416,841,308 is 1858784928.
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.
132 x 667 x 416 x 841 x 308 = 9487238272512
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
667 : 1, 23, 29, 667
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
841 : 1, 29, 841
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,667,416,841,308, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
667:23x 29
416:2x 2x 2x 2x 2x 13
841:29x 29
308:2x 2x 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 2x 11x 29 = 5104
Therefore, the value for common factors is 5104.
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 = 9487238272512/(1x5104)
LCM = 9487238272512/5104
LCM = 1858784928
Thus, we can understand that the LCM of 132,667,416,841,308 is 1858784928.
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FAQs on LCM of 132, 667, 416, 841, 308
1. What is the LCM of 132, 667, 416, 841, 308?
Answer: LCM of 132, 667, 416, 841, 308 is 1858784928.
2. How to calculate the LCM of 132, 667, 416, 841, 308?
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 132, 667, 416, 841, 308.
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}.