LCM of 132, 407, 414, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 407, 414, 322 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, 407, 414, 322. So, keep reading to learn more.
Given numbers are 132,407,414,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,407,414,322 is 2358972.
Find LCM of 132,407,414,322 with Prime Factorization
| 2 | 132, 407, 414, 322 |
| 3 | 66, 407, 207, 161 |
| 11 | 22, 407, 69, 161 |
| 23 | 2, 37, 69, 161 |
| 2, 37, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 2 x 37 x 3 x 7 = 2358972
Therefore, the lowest common multiple of 132,407,414,322 is 2358972.
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 407 x 414 x 322 = 7161838992
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
407 : 1, 11, 37, 407
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,407,414,322, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
407:11x 37
414:2x 3x 3x 23
322:2x 7x 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 2x 3x 11x 23 = 3036
Therefore, the value for common factors is 3036.
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 = 7161838992/(1x3036)
LCM = 7161838992/3036
LCM = 2358972
Thus, we can understand that the LCM of 132,407,414,322 is 2358972.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 132, 407, 414, 322
1. What is the LCM of 132, 407, 414, 322?
Answer: LCM of 132, 407, 414, 322 is 2358972.
2. How to calculate the LCM of 132, 407, 414, 322?
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, 407, 414, 322.
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}.