LCM of 424, 154, 352, 821, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 154, 352, 821, 942 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 424, 154, 352, 821, 942. So, keep reading to learn more.
Given numbers are 424,154,352,821,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,154,352,821,942 is 50498751072.
Find LCM of 424,154,352,821,942 with Prime Factorization
| 2 | 424, 154, 352, 821, 942 |
| 2 | 212, 77, 176, 821, 471 |
| 2 | 106, 77, 88, 821, 471 |
| 11 | 53, 77, 44, 821, 471 |
| 53, 7, 4, 821, 471 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 53 x 7 x 4 x 821 x 471 = 50498751072
Therefore, the lowest common multiple of 424,154,352,821,942 is 50498751072.
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.
424 x 154 x 352 x 821 x 942 = 17775560377344
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
154 : 1, 2, 7, 11, 14, 22, 77, 154
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
821 : 1, 821
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,154,352,821,942, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
154:2x 7x 11
352:2x 2x 2x 2x 2x 11
821:821
942:2x 3x 157
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 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 17775560377344/(1x352)
LCM = 17775560377344/352
LCM = 50498751072
Thus, we can understand that the LCM of 424,154,352,821,942 is 50498751072.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 424, 154, 352, 821, 942
1. What is the LCM of 424, 154, 352, 821, 942?
Answer: LCM of 424, 154, 352, 821, 942 is 50498751072.
2. How to calculate the LCM of 424, 154, 352, 821, 942?
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 424, 154, 352, 821, 942.
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}.