LCM of 896, 788, 420, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 788, 420, 252 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 896, 788, 420, 252. So, keep reading to learn more.
Given numbers are 896,788,420,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,788,420,252 is 7943040.
Find LCM of 896,788,420,252 with Prime Factorization
| 2 | 896, 788, 420, 252 |
| 2 | 448, 394, 210, 126 |
| 3 | 224, 197, 105, 63 |
| 7 | 224, 197, 35, 21 |
| 32, 197, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 32 x 197 x 5 x 3 = 7943040
Therefore, the lowest common multiple of 896,788,420,252 is 7943040.
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.
896 x 788 x 420 x 252 = 74728120320
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
788 : 1, 2, 4, 197, 394, 788
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,788,420,252, is 4.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
788:2x 2x 197
420:2x 2x 3x 5x 7
252:2x 2x 3x 3x 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 2x 2x 2x 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 74728120320/(4x2352)
LCM = 74728120320/9408
LCM = 7943040
Thus, we can understand that the LCM of 896,788,420,252 is 7943040.
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FAQs on LCM of 896, 788, 420, 252
1. What is the LCM of 896, 788, 420, 252?
Answer: LCM of 896, 788, 420, 252 is 7943040.
2. How to calculate the LCM of 896, 788, 420, 252?
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 896, 788, 420, 252.
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}.