LCM of 414, 782, 117, 578, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 782, 117, 578, 897 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, 782, 117, 578, 897. So, keep reading to learn more.
Given numbers are 414,782,117,578,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,782,117,578,897 is 1555398.
Find LCM of 414,782,117,578,897 with Prime Factorization
| 2 | 414, 782, 117, 578, 897 |
| 3 | 207, 391, 117, 289, 897 |
| 3 | 69, 391, 39, 289, 299 |
| 13 | 23, 391, 13, 289, 299 |
| 17 | 23, 391, 1, 289, 23 |
| 23 | 23, 23, 1, 17, 23 |
| 1, 1, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 23 x 1 x 1 x 1 x 17 x 1 = 1555398
Therefore, the lowest common multiple of 414,782,117,578,897 is 1555398.
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 782 x 117 x 578 x 897 = 19638722676456
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
117 : 1, 3, 9, 13, 39, 117
578 : 1, 2, 17, 34, 289, 578
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,782,117,578,897, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
782:2x 17x 23
117:3x 3x 13
578:2x 17x 17
897:3x 13x 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 3x 3x 13x 17x 23x 23 = 12626172
Therefore, the value for common factors is 12626172.
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 = 19638722676456/(1x12626172)
LCM = 19638722676456/12626172
LCM = 1555398
Thus, we can understand that the LCM of 414,782,117,578,897 is 1555398.
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FAQs on LCM of 414, 782, 117, 578, 897
1. What is the LCM of 414, 782, 117, 578, 897?
Answer: LCM of 414, 782, 117, 578, 897 is 1555398.
2. How to calculate the LCM of 414, 782, 117, 578, 897?
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, 782, 117, 578, 897.
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}.