LCM of 409, 414, 141, 902, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 414, 141, 902, 667 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 409, 414, 141, 902, 667. So, keep reading to learn more.
Given numbers are 409,414,141,902,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,414,141,902,667 is 104086893438.
Find LCM of 409,414,141,902,667 with Prime Factorization
| 2 | 409, 414, 141, 902, 667 |
| 3 | 409, 207, 141, 451, 667 |
| 23 | 409, 69, 47, 451, 667 |
| 409, 3, 47, 451, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 409 x 3 x 47 x 451 x 29 = 104086893438
Therefore, the lowest common multiple of 409,414,141,902,667 is 104086893438.
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.
409 x 414 x 141 x 902 x 667 = 14363991294444
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.
409 : 1, 409
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
141 : 1, 3, 47, 141
902 : 1, 2, 11, 22, 41, 82, 451, 902
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,414,141,902,667, is 1.
Now, the common factors can be found like this.
409:409
414:2x 3x 3x 23
141:3x 47
902:2x 11x 41
667:23x 29
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 23 = 138
Therefore, the value for common factors is 138.
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 = 14363991294444/(1x138)
LCM = 14363991294444/138
LCM = 104086893438
Thus, we can understand that the LCM of 409,414,141,902,667 is 104086893438.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 414, 141, 902, 667
1. What is the LCM of 409, 414, 141, 902, 667?
Answer: LCM of 409, 414, 141, 902, 667 is 104086893438.
2. How to calculate the LCM of 409, 414, 141, 902, 667?
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 409, 414, 141, 902, 667.
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}.