LCM of 844, 398, 993, 220, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 398, 993, 220, 745 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, 398, 993, 220, 745. So, keep reading to learn more.
Given numbers are 844,398,993,220,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,398,993,220,745 is 1366764624060.
Find LCM of 844,398,993,220,745 with Prime Factorization
| 2 | 844, 398, 993, 220, 745 |
| 2 | 422, 199, 993, 110, 745 |
| 5 | 211, 199, 993, 55, 745 |
| 211, 199, 993, 11, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 211 x 199 x 993 x 11 x 149 = 1366764624060
Therefore, the lowest common multiple of 844,398,993,220,745 is 1366764624060.
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 398 x 993 x 220 x 745 = 54670584962400
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
398 : 1, 2, 199, 398
993 : 1, 3, 331, 993
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,398,993,220,745, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
398:2x 199
993:3x 331
220:2x 2x 5x 11
745:5x 149
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 5 = 40
Therefore, the value for common factors is 40.
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 = 54670584962400/(1x40)
LCM = 54670584962400/40
LCM = 1366764624060
Thus, we can understand that the LCM of 844,398,993,220,745 is 1366764624060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 398, 993, 220, 745
1. What is the LCM of 844, 398, 993, 220, 745?
Answer: LCM of 844, 398, 993, 220, 745 is 1366764624060.
2. How to calculate the LCM of 844, 398, 993, 220, 745?
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, 398, 993, 220, 745.
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}.