LCM of 604, 228, 438, 836, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 228, 438, 836, 859 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 604, 228, 438, 836, 859. So, keep reading to learn more.
Given numbers are 604,228,438,836,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,228,438,836,859 is 23747642556.
Find LCM of 604,228,438,836,859 with Prime Factorization
| 2 | 604, 228, 438, 836, 859 |
| 2 | 302, 114, 219, 418, 859 |
| 3 | 151, 57, 219, 209, 859 |
| 19 | 151, 19, 73, 209, 859 |
| 151, 1, 73, 11, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 151 x 1 x 73 x 11 x 859 = 23747642556
Therefore, the lowest common multiple of 604,228,438,836,859 is 23747642556.
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.
604 x 228 x 438 x 836 x 859 = 43315700022144
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.
604 : 1, 2, 4, 151, 302, 604
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
438 : 1, 2, 3, 6, 73, 146, 219, 438
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,228,438,836,859, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
228:2x 2x 3x 19
438:2x 3x 73
836:2x 2x 11x 19
859:859
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 19 = 1824
Therefore, the value for common factors is 1824.
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 = 43315700022144/(1x1824)
LCM = 43315700022144/1824
LCM = 23747642556
Thus, we can understand that the LCM of 604,228,438,836,859 is 23747642556.
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FAQs on LCM of 604, 228, 438, 836, 859
1. What is the LCM of 604, 228, 438, 836, 859?
Answer: LCM of 604, 228, 438, 836, 859 is 23747642556.
2. How to calculate the LCM of 604, 228, 438, 836, 859?
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 604, 228, 438, 836, 859.
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}.