LCM of 851, 101, 671, 378, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 101, 671, 378, 427 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 851, 101, 671, 378, 427. So, keep reading to learn more.
Given numbers are 851,101,671,378,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,101,671,378,427 is 21800439738.
Find LCM of 851,101,671,378,427 with Prime Factorization
| 7 | 851, 101, 671, 378, 427 |
| 61 | 851, 101, 671, 54, 61 |
| 851, 101, 11, 54, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 61 x 851 x 101 x 11 x 54 x 1 = 21800439738
Therefore, the lowest common multiple of 851,101,671,378,427 is 21800439738.
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.
851 x 101 x 671 x 378 x 427 = 9308787768126
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.
851 : 1, 23, 37, 851
101 : 1, 101
671 : 1, 11, 61, 671
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,101,671,378,427, is 1.
Now, the common factors can be found like this.
851:23x 37
101:101
671:11x 61
378:2x 3x 3x 3x 7
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 61 = 427
Therefore, the value for common factors is 427.
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 = 9308787768126/(1x427)
LCM = 9308787768126/427
LCM = 21800439738
Thus, we can understand that the LCM of 851,101,671,378,427 is 21800439738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 101, 671, 378, 427
1. What is the LCM of 851, 101, 671, 378, 427?
Answer: LCM of 851, 101, 671, 378, 427 is 21800439738.
2. How to calculate the LCM of 851, 101, 671, 378, 427?
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 851, 101, 671, 378, 427.
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}.