LCM of 387, 897, 781, 414, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 897, 781, 414, 851 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 387, 897, 781, 414, 851. So, keep reading to learn more.
Given numbers are 387,897,781,414,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,897,781,414,851 is 6687517122.
Find LCM of 387,897,781,414,851 with Prime Factorization
| 3 | 387, 897, 781, 414, 851 |
| 3 | 129, 299, 781, 138, 851 |
| 23 | 43, 299, 781, 46, 851 |
| 43, 13, 781, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 43 x 13 x 781 x 2 x 37 = 6687517122
Therefore, the lowest common multiple of 387,897,781,414,851 is 6687517122.
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.
387 x 897 x 781 x 414 x 851 = 95517807053526
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.
387 : 1, 3, 9, 43, 129, 387
897 : 1, 3, 13, 23, 39, 69, 299, 897
781 : 1, 11, 71, 781
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,897,781,414,851, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
897:3x 13x 23
781:11x 71
414:2x 3x 3x 23
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 23x 23 = 14283
Therefore, the value for common factors is 14283.
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 = 95517807053526/(1x14283)
LCM = 95517807053526/14283
LCM = 6687517122
Thus, we can understand that the LCM of 387,897,781,414,851 is 6687517122.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 897, 781, 414, 851
1. What is the LCM of 387, 897, 781, 414, 851?
Answer: LCM of 387, 897, 781, 414, 851 is 6687517122.
2. How to calculate the LCM of 387, 897, 781, 414, 851?
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 387, 897, 781, 414, 851.
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}.