LCM of 129, 414, 167, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 129, 414, 167, 690 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 129, 414, 167, 690. So, keep reading to learn more.
Given numbers are 129,414,167,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 129,414,167,690 is 14864670.
Find LCM of 129,414,167,690 with Prime Factorization
| 2 | 129, 414, 167, 690 |
| 3 | 129, 207, 167, 345 |
| 23 | 43, 69, 167, 115 |
| 43, 3, 167, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 3 x 167 x 5 = 14864670
Therefore, the lowest common multiple of 129,414,167,690 is 14864670.
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.
129 x 414 x 167 x 690 = 6153973380
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.
129 : 1, 3, 43, 129
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
167 : 1, 167
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,414,167,690, is 1.
Now, the common factors can be found like this.
129:3x 43
414:2x 3x 3x 23
167:167
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 6153973380/(1x414)
LCM = 6153973380/414
LCM = 14864670
Thus, we can understand that the LCM of 129,414,167,690 is 14864670.
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FAQs on LCM of 129, 414, 167, 690
1. What is the LCM of 129, 414, 167, 690?
Answer: LCM of 129, 414, 167, 690 is 14864670.
2. How to calculate the LCM of 129, 414, 167, 690?
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 129, 414, 167, 690.
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}.