LCM of 844, 437, 228, 894, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 437, 228, 894, 142 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 844, 437, 228, 894, 142. So, keep reading to learn more.
Given numbers are 844,437,228,894,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,437,228,894,142 is 11705494236.
Find LCM of 844,437,228,894,142 with Prime Factorization
| 2 | 844, 437, 228, 894, 142 |
| 2 | 422, 437, 114, 447, 71 |
| 3 | 211, 437, 57, 447, 71 |
| 19 | 211, 437, 19, 149, 71 |
| 211, 23, 1, 149, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 211 x 23 x 1 x 149 x 71 = 11705494236
Therefore, the lowest common multiple of 844,437,228,894,142 is 11705494236.
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.
844 x 437 x 228 x 894 x 142 = 10675410743232
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.
844 : 1, 2, 4, 211, 422, 844
437 : 1, 19, 23, 437
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
894 : 1, 2, 3, 6, 149, 298, 447, 894
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,437,228,894,142, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
437:19x 23
228:2x 2x 3x 19
894:2x 3x 149
142:2x 71
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 19 = 912
Therefore, the value for common factors is 912.
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 = 10675410743232/(1x912)
LCM = 10675410743232/912
LCM = 11705494236
Thus, we can understand that the LCM of 844,437,228,894,142 is 11705494236.
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FAQs on LCM of 844, 437, 228, 894, 142
1. What is the LCM of 844, 437, 228, 894, 142?
Answer: LCM of 844, 437, 228, 894, 142 is 11705494236.
2. How to calculate the LCM of 844, 437, 228, 894, 142?
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 844, 437, 228, 894, 142.
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}.