LCM of 884, 397, 612, 414, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 397, 612, 414, 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 884, 397, 612, 414, 667. So, keep reading to learn more.
Given numbers are 884,397,612,414,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,397,612,414,667 is 2106740844.
Find LCM of 884,397,612,414,667 with Prime Factorization
| 2 | 884, 397, 612, 414, 667 |
| 2 | 442, 397, 306, 207, 667 |
| 3 | 221, 397, 153, 207, 667 |
| 3 | 221, 397, 51, 69, 667 |
| 17 | 221, 397, 17, 23, 667 |
| 23 | 13, 397, 1, 23, 667 |
| 13, 397, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 23 x 13 x 397 x 1 x 1 x 29 = 2106740844
Therefore, the lowest common multiple of 884,397,612,414,667 is 2106740844.
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.
884 x 397 x 612 x 414 x 667 = 59308968240288
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
397 : 1, 397
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,397,612,414,667, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
397:397
612:2x 2x 3x 3x 17
414:2x 3x 3x 23
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 2x 2x 3x 3x 17x 23 = 28152
Therefore, the value for common factors is 28152.
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 = 59308968240288/(1x28152)
LCM = 59308968240288/28152
LCM = 2106740844
Thus, we can understand that the LCM of 884,397,612,414,667 is 2106740844.
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FAQs on LCM of 884, 397, 612, 414, 667
1. What is the LCM of 884, 397, 612, 414, 667?
Answer: LCM of 884, 397, 612, 414, 667 is 2106740844.
2. How to calculate the LCM of 884, 397, 612, 414, 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 884, 397, 612, 414, 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}.