LCM of 439, 551, 494, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 551, 494, 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 439, 551, 494, 942. So, keep reading to learn more.
Given numbers are 439,551,494,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,551,494,942 is 2962172694.
Find LCM of 439,551,494,942 with Prime Factorization
| 2 | 439, 551, 494, 942 |
| 19 | 439, 551, 247, 471 |
| 439, 29, 13, 471 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 439 x 29 x 13 x 471 = 2962172694
Therefore, the lowest common multiple of 439,551,494,942 is 2962172694.
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.
439 x 551 x 494 x 942 = 112562562372
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.
439 : 1, 439
551 : 1, 19, 29, 551
494 : 1, 2, 13, 19, 26, 38, 247, 494
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 439,551,494,942, is 1.
Now, the common factors can be found like this.
439:439
551:19x 29
494:2x 13x 19
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 19 = 38
Therefore, the value for common factors is 38.
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 = 112562562372/(1x38)
LCM = 112562562372/38
LCM = 2962172694
Thus, we can understand that the LCM of 439,551,494,942 is 2962172694.
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FAQs on LCM of 439, 551, 494, 942
1. What is the LCM of 439, 551, 494, 942?
Answer: LCM of 439, 551, 494, 942 is 2962172694.
2. How to calculate the LCM of 439, 551, 494, 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 439, 551, 494, 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}.