LCM of 851, 814, 148, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 814, 148, 678 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, 814, 148, 678. So, keep reading to learn more.
Given numbers are 851,814,148,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,814,148,678 is 12693516.
Find LCM of 851,814,148,678 with Prime Factorization
| 2 | 851, 814, 148, 678 |
| 37 | 851, 407, 74, 339 |
| 23, 11, 2, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 23 x 11 x 2 x 339 = 12693516
Therefore, the lowest common multiple of 851,814,148,678 is 12693516.
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 814 x 148 x 678 = 69509693616
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
148 : 1, 2, 4, 37, 74, 148
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,814,148,678, is 1.
Now, the common factors can be found like this.
851:23x 37
814:2x 11x 37
148:2x 2x 37
678:2x 3x 113
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 37x 37 = 5476
Therefore, the value for common factors is 5476.
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 = 69509693616/(1x5476)
LCM = 69509693616/5476
LCM = 12693516
Thus, we can understand that the LCM of 851,814,148,678 is 12693516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 814, 148, 678
1. What is the LCM of 851, 814, 148, 678?
Answer: LCM of 851, 814, 148, 678 is 12693516.
2. How to calculate the LCM of 851, 814, 148, 678?
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, 814, 148, 678.
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}.