LCM of 286, 967, 790, 149
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 967, 790, 149 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 286, 967, 790, 149. So, keep reading to learn more.
Given numbers are 286,967,790,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,967,790,149 is 16277056510.
Find LCM of 286,967,790,149 with Prime Factorization
| 2 | 286, 967, 790, 149 |
| 143, 967, 395, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 143 x 967 x 395 x 149 = 16277056510
Therefore, the lowest common multiple of 286,967,790,149 is 16277056510.
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.
286 x 967 x 790 x 149 = 32554113020
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
967 : 1, 967
790 : 1, 2, 5, 10, 79, 158, 395, 790
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,967,790,149, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
967:967
790:2x 5x 79
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 32554113020/(1x2)
LCM = 32554113020/2
LCM = 16277056510
Thus, we can understand that the LCM of 286,967,790,149 is 16277056510.
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FAQs on LCM of 286, 967, 790, 149
1. What is the LCM of 286, 967, 790, 149?
Answer: LCM of 286, 967, 790, 149 is 16277056510.
2. How to calculate the LCM of 286, 967, 790, 149?
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 286, 967, 790, 149.
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}.