LCM of 951, 636, 814, 286, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 636, 814, 286, 988 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, 636, 814, 286, 988. So, keep reading to learn more.
Given numbers are 951,636,814,286,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,636,814,286,988 is 20267852748.
Find LCM of 951,636,814,286,988 with Prime Factorization
| 2 | 951, 636, 814, 286, 988 |
| 2 | 951, 318, 407, 143, 494 |
| 3 | 951, 159, 407, 143, 247 |
| 11 | 317, 53, 407, 143, 247 |
| 13 | 317, 53, 37, 13, 247 |
| 317, 53, 37, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 317 x 53 x 37 x 1 x 19 = 20267852748
Therefore, the lowest common multiple of 951,636,814,286,988 is 20267852748.
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 636 x 814 x 286 x 988 = 139118541262272
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
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
814 : 1, 2, 11, 22, 37, 74, 407, 814
286 : 1, 2, 11, 13, 22, 26, 143, 286
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,636,814,286,988, is 1.
Now, the common factors can be found like this.
951:3x 317
636:2x 2x 3x 53
814:2x 11x 37
286:2x 11x 13
988:2x 2x 13x 19
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 2x 2x 3x 11x 13 = 6864
Therefore, the value for common factors is 6864.
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 = 139118541262272/(1x6864)
LCM = 139118541262272/6864
LCM = 20267852748
Thus, we can understand that the LCM of 951,636,814,286,988 is 20267852748.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 951, 636, 814, 286, 988
1. What is the LCM of 951, 636, 814, 286, 988?
Answer: LCM of 951, 636, 814, 286, 988 is 20267852748.
2. How to calculate the LCM of 951, 636, 814, 286, 988?
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, 636, 814, 286, 988.
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}.