LCM of 684, 814, 374, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 814, 374, 851 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 684, 814, 374, 851. So, keep reading to learn more.
Given numbers are 684,814,374,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,814,374,851 is 108849708.
Find LCM of 684,814,374,851 with Prime Factorization
| 2 | 684, 814, 374, 851 |
| 11 | 342, 407, 187, 851 |
| 37 | 342, 37, 17, 851 |
| 342, 1, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 342 x 1 x 17 x 23 = 108849708
Therefore, the lowest common multiple of 684,814,374,851 is 108849708.
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.
684 x 814 x 374 x 851 = 177207324624
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
814 : 1, 2, 11, 22, 37, 74, 407, 814
374 : 1, 2, 11, 17, 22, 34, 187, 374
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,814,374,851, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
814:2x 11x 37
374:2x 11x 17
851:23x 37
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 11x 37 = 1628
Therefore, the value for common factors is 1628.
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 = 177207324624/(1x1628)
LCM = 177207324624/1628
LCM = 108849708
Thus, we can understand that the LCM of 684,814,374,851 is 108849708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 814, 374, 851
1. What is the LCM of 684, 814, 374, 851?
Answer: LCM of 684, 814, 374, 851 is 108849708.
2. How to calculate the LCM of 684, 814, 374, 851?
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 684, 814, 374, 851.
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}.