LCM of 951, 629, 986, 629, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 629, 986, 629, 894 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 951, 629, 986, 629, 894. So, keep reading to learn more.
Given numbers are 951,629,986,629,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,629,986,629,894 is 5169462918.
Find LCM of 951,629,986,629,894 with Prime Factorization
| 2 | 951, 629, 986, 629, 894 |
| 3 | 951, 629, 493, 629, 447 |
| 17 | 317, 629, 493, 629, 149 |
| 37 | 317, 37, 29, 37, 149 |
| 317, 1, 29, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 37 x 317 x 1 x 29 x 1 x 149 = 5169462918
Therefore, the lowest common multiple of 951,629,986,629,894 is 5169462918.
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.
951 x 629 x 986 x 629 x 894 = 331662401893044
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.
951 : 1, 3, 317, 951
629 : 1, 17, 37, 629
986 : 1, 2, 17, 29, 34, 58, 493, 986
629 : 1, 17, 37, 629
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,629,986,629,894, is 1.
Now, the common factors can be found like this.
951:3x 317
629:17x 37
986:2x 17x 29
629:17x 37
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 17x 37 = 64158
Therefore, the value for common factors is 64158.
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 = 331662401893044/(1x64158)
LCM = 331662401893044/64158
LCM = 5169462918
Thus, we can understand that the LCM of 951,629,986,629,894 is 5169462918.
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FAQs on LCM of 951, 629, 986, 629, 894
1. What is the LCM of 951, 629, 986, 629, 894?
Answer: LCM of 951, 629, 986, 629, 894 is 5169462918.
2. How to calculate the LCM of 951, 629, 986, 629, 894?
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 951, 629, 986, 629, 894.
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}.