LCM of 491, 142, 425, 408, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 142, 425, 408, 180 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 491, 142, 425, 408, 180. So, keep reading to learn more.
Given numbers are 491,142,425,408,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,142,425,408,180 is 1066746600.
Find LCM of 491,142,425,408,180 with Prime Factorization
| 2 | 491, 142, 425, 408, 180 |
| 2 | 491, 71, 425, 204, 90 |
| 3 | 491, 71, 425, 102, 45 |
| 5 | 491, 71, 425, 34, 15 |
| 17 | 491, 71, 85, 34, 3 |
| 491, 71, 5, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 491 x 71 x 5 x 2 x 3 = 1066746600
Therefore, the lowest common multiple of 491,142,425,408,180 is 1066746600.
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.
491 x 142 x 425 x 408 x 180 = 2176163064000
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.
491 : 1, 491
142 : 1, 2, 71, 142
425 : 1, 5, 17, 25, 85, 425
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,142,425,408,180, is 1.
Now, the common factors can be found like this.
491:491
142:2x 71
425:5x 5x 17
408:2x 2x 2x 3x 17
180:2x 2x 3x 3x 5
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 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 2176163064000/(1x2040)
LCM = 2176163064000/2040
LCM = 1066746600
Thus, we can understand that the LCM of 491,142,425,408,180 is 1066746600.
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FAQs on LCM of 491, 142, 425, 408, 180
1. What is the LCM of 491, 142, 425, 408, 180?
Answer: LCM of 491, 142, 425, 408, 180 is 1066746600.
2. How to calculate the LCM of 491, 142, 425, 408, 180?
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 491, 142, 425, 408, 180.
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}.