LCM of 874, 403, 676, 380, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 403, 676, 380, 424 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 874, 403, 676, 380, 424. So, keep reading to learn more.
Given numbers are 874,403,676,380,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,403,676,380,424 is 4853619160.
Find LCM of 874,403,676,380,424 with Prime Factorization
| 2 | 874, 403, 676, 380, 424 |
| 2 | 437, 403, 338, 190, 212 |
| 13 | 437, 403, 169, 95, 106 |
| 19 | 437, 31, 13, 95, 106 |
| 23, 31, 13, 5, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 23 x 31 x 13 x 5 x 106 = 4853619160
Therefore, the lowest common multiple of 874,403,676,380,424 is 4853619160.
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.
874 x 403 x 676 x 380 x 424 = 38363005840640
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
403 : 1, 13, 31, 403
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,403,676,380,424, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
403:13x 31
676:2x 2x 13x 13
380:2x 2x 5x 19
424:2x 2x 2x 53
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 13x 19 = 7904
Therefore, the value for common factors is 7904.
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 = 38363005840640/(1x7904)
LCM = 38363005840640/7904
LCM = 4853619160
Thus, we can understand that the LCM of 874,403,676,380,424 is 4853619160.
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FAQs on LCM of 874, 403, 676, 380, 424
1. What is the LCM of 874, 403, 676, 380, 424?
Answer: LCM of 874, 403, 676, 380, 424 is 4853619160.
2. How to calculate the LCM of 874, 403, 676, 380, 424?
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 874, 403, 676, 380, 424.
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}.