LCM of 894, 604, 906, 420, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 604, 906, 420, 392 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 894, 604, 906, 420, 392. So, keep reading to learn more.
Given numbers are 894,604,906,420,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,604,906,420,392 is 132294120.
Find LCM of 894,604,906,420,392 with Prime Factorization
| 2 | 894, 604, 906, 420, 392 |
| 2 | 447, 302, 453, 210, 196 |
| 3 | 447, 151, 453, 105, 98 |
| 7 | 149, 151, 151, 35, 98 |
| 151 | 149, 151, 151, 5, 14 |
| 149, 1, 1, 5, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 151 x 149 x 1 x 1 x 5 x 14 = 132294120
Therefore, the lowest common multiple of 894,604,906,420,392 is 132294120.
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.
894 x 604 x 906 x 420 x 392 = 80544893667840
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
604 : 1, 2, 4, 151, 302, 604
906 : 1, 2, 3, 6, 151, 302, 453, 906
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
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,604,906,420,392, is 2.
Now, the common factors can be found like this.
894:2x 3x 149
604:2x 2x 151
906:2x 3x 151
420:2x 2x 3x 5x 7
392:2x 2x 2x 7x 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 2x 3x 3x 7x 151 = 304416
Therefore, the value for common factors is 304416.
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 = 80544893667840/(2x304416)
LCM = 80544893667840/608832
LCM = 132294120
Thus, we can understand that the LCM of 894,604,906,420,392 is 132294120.
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FAQs on LCM of 894, 604, 906, 420, 392
1. What is the LCM of 894, 604, 906, 420, 392?
Answer: LCM of 894, 604, 906, 420, 392 is 132294120.
2. How to calculate the LCM of 894, 604, 906, 420, 392?
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 894, 604, 906, 420, 392.
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}.