LCM of 151, 986, 377, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 986, 377, 442 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 151, 986, 377, 442. So, keep reading to learn more.
Given numbers are 151,986,377,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,986,377,442 is 1935518.
Find LCM of 151,986,377,442 with Prime Factorization
| 2 | 151, 986, 377, 442 |
| 13 | 151, 493, 377, 221 |
| 17 | 151, 493, 29, 17 |
| 29 | 151, 29, 29, 1 |
| 151, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 29 x 151 x 1 x 1 x 1 = 1935518
Therefore, the lowest common multiple of 151,986,377,442 is 1935518.
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.
151 x 986 x 377 x 442 = 24809469724
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.
151 : 1, 151
986 : 1, 2, 17, 29, 34, 58, 493, 986
377 : 1, 13, 29, 377
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,986,377,442, is 1.
Now, the common factors can be found like this.
151:151
986:2x 17x 29
377:13x 29
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17x 29 = 12818
Therefore, the value for common factors is 12818.
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 = 24809469724/(1x12818)
LCM = 24809469724/12818
LCM = 1935518
Thus, we can understand that the LCM of 151,986,377,442 is 1935518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 986, 377, 442
1. What is the LCM of 151, 986, 377, 442?
Answer: LCM of 151, 986, 377, 442 is 1935518.
2. How to calculate the LCM of 151, 986, 377, 442?
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 151, 986, 377, 442.
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}.