LCM of 414, 508, 222, 414, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 508, 222, 414, 138 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 414, 508, 222, 414, 138. So, keep reading to learn more.
Given numbers are 414,508,222,414,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,508,222,414,138 is 3890772.
Find LCM of 414,508,222,414,138 with Prime Factorization
| 2 | 414, 508, 222, 414, 138 |
| 3 | 207, 254, 111, 207, 69 |
| 3 | 23, 254, 37, 69, 69 |
| 23 | 23, 254, 37, 23, 23 |
| 1, 254, 37, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 1 x 254 x 37 x 1 x 1 = 3890772
Therefore, the lowest common multiple of 414,508,222,414,138 is 3890772.
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.
414 x 508 x 222 x 414 x 138 = 2667451030848
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
508 : 1, 2, 4, 127, 254, 508
222 : 1, 2, 3, 6, 37, 74, 111, 222
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
138 : 1, 2, 3, 6, 23, 46, 69, 138
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,508,222,414,138, is 2.
Now, the common factors can be found like this.
414:2x 3x 3x 23
508:2x 2x 127
222:2x 3x 37
414:2x 3x 3x 23
138:2x 3x 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 2x 3x 3x 3x 3x 23x 23 = 342792
Therefore, the value for common factors is 342792.
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 = 2667451030848/(2x342792)
LCM = 2667451030848/685584
LCM = 3890772
Thus, we can understand that the LCM of 414,508,222,414,138 is 3890772.
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FAQs on LCM of 414, 508, 222, 414, 138
1. What is the LCM of 414, 508, 222, 414, 138?
Answer: LCM of 414, 508, 222, 414, 138 is 3890772.
2. How to calculate the LCM of 414, 508, 222, 414, 138?
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 414, 508, 222, 414, 138.
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}.