LCM of 334, 114, 422, 671, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 114, 422, 671, 495 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 334, 114, 422, 671, 495. So, keep reading to learn more.
Given numbers are 334,114,422,671,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,114,422,671,495 is 40431286170.
Find LCM of 334,114,422,671,495 with Prime Factorization
| 2 | 334, 114, 422, 671, 495 |
| 3 | 167, 57, 211, 671, 495 |
| 11 | 167, 19, 211, 671, 165 |
| 167, 19, 211, 61, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 167 x 19 x 211 x 61 x 15 = 40431286170
Therefore, the lowest common multiple of 334,114,422,671,495 is 40431286170.
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.
334 x 114 x 422 x 671 x 495 = 5336929774440
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.
334 : 1, 2, 167, 334
114 : 1, 2, 3, 6, 19, 38, 57, 114
422 : 1, 2, 211, 422
671 : 1, 11, 61, 671
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,114,422,671,495, is 1.
Now, the common factors can be found like this.
334:2x 167
114:2x 3x 19
422:2x 211
671:11x 61
495:3x 3x 5x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 5336929774440/(1x132)
LCM = 5336929774440/132
LCM = 40431286170
Thus, we can understand that the LCM of 334,114,422,671,495 is 40431286170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 114, 422, 671, 495
1. What is the LCM of 334, 114, 422, 671, 495?
Answer: LCM of 334, 114, 422, 671, 495 is 40431286170.
2. How to calculate the LCM of 334, 114, 422, 671, 495?
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 334, 114, 422, 671, 495.
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}.