LCM of 554, 399, 943, 874, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 399, 943, 874, 834 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 554, 399, 943, 874, 834. So, keep reading to learn more.
Given numbers are 554,399,943,874,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,399,943,874,834 is 28974046542.
Find LCM of 554,399,943,874,834 with Prime Factorization
| 2 | 554, 399, 943, 874, 834 |
| 3 | 277, 399, 943, 437, 417 |
| 19 | 277, 133, 943, 437, 139 |
| 23 | 277, 7, 943, 23, 139 |
| 277, 7, 41, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 277 x 7 x 41 x 1 x 139 = 28974046542
Therefore, the lowest common multiple of 554,399,943,874,834 is 28974046542.
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.
554 x 399 x 943 x 874 x 834 = 151939900066248
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.
554 : 1, 2, 277, 554
399 : 1, 3, 7, 19, 21, 57, 133, 399
943 : 1, 23, 41, 943
874 : 1, 2, 19, 23, 38, 46, 437, 874
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,399,943,874,834, is 1.
Now, the common factors can be found like this.
554:2x 277
399:3x 7x 19
943:23x 41
874:2x 19x 23
834:2x 3x 139
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 3x 19x 23 = 5244
Therefore, the value for common factors is 5244.
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 = 151939900066248/(1x5244)
LCM = 151939900066248/5244
LCM = 28974046542
Thus, we can understand that the LCM of 554,399,943,874,834 is 28974046542.
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FAQs on LCM of 554, 399, 943, 874, 834
1. What is the LCM of 554, 399, 943, 874, 834?
Answer: LCM of 554, 399, 943, 874, 834 is 28974046542.
2. How to calculate the LCM of 554, 399, 943, 874, 834?
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 554, 399, 943, 874, 834.
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}.