LCM of 843, 205, 154, 625, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 205, 154, 625, 420 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 843, 205, 154, 625, 420. So, keep reading to learn more.
Given numbers are 843,205,154,625,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,205,154,625,420 is 6653377500.
Find LCM of 843,205,154,625,420 with Prime Factorization
| 2 | 843, 205, 154, 625, 420 |
| 3 | 843, 205, 77, 625, 210 |
| 5 | 281, 205, 77, 625, 70 |
| 7 | 281, 41, 77, 125, 14 |
| 281, 41, 11, 125, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 281 x 41 x 11 x 125 x 2 = 6653377500
Therefore, the lowest common multiple of 843,205,154,625,420 is 6653377500.
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.
843 x 205 x 154 x 625 x 420 = 6986046375000
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.
843 : 1, 3, 281, 843
205 : 1, 5, 41, 205
154 : 1, 2, 7, 11, 14, 22, 77, 154
625 : 1, 5, 25, 125, 625
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,205,154,625,420, is 1.
Now, the common factors can be found like this.
843:3x 281
205:5x 41
154:2x 7x 11
625:5x 5x 5x 5
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7 = 1050
Therefore, the value for common factors is 1050.
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 = 6986046375000/(1x1050)
LCM = 6986046375000/1050
LCM = 6653377500
Thus, we can understand that the LCM of 843,205,154,625,420 is 6653377500.
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FAQs on LCM of 843, 205, 154, 625, 420
1. What is the LCM of 843, 205, 154, 625, 420?
Answer: LCM of 843, 205, 154, 625, 420 is 6653377500.
2. How to calculate the LCM of 843, 205, 154, 625, 420?
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 843, 205, 154, 625, 420.
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}.