LCM of 844, 380, 673, 390, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 380, 673, 390, 962 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, 380, 673, 390, 962. So, keep reading to learn more.
Given numbers are 844,380,673,390,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,380,673,390,962 is 77865925020.
Find LCM of 844,380,673,390,962 with Prime Factorization
| 2 | 844, 380, 673, 390, 962 |
| 2 | 422, 190, 673, 195, 481 |
| 5 | 211, 95, 673, 195, 481 |
| 13 | 211, 19, 673, 39, 481 |
| 211, 19, 673, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 211 x 19 x 673 x 3 x 37 = 77865925020
Therefore, the lowest common multiple of 844,380,673,390,962 is 77865925020.
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 380 x 673 x 390 x 962 = 80980562020800
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
673 : 1, 673
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,380,673,390,962, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
380:2x 2x 5x 19
673:673
390:2x 3x 5x 13
962:2x 13x 37
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 5x 13 = 1040
Therefore, the value for common factors is 1040.
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 = 80980562020800/(1x1040)
LCM = 80980562020800/1040
LCM = 77865925020
Thus, we can understand that the LCM of 844,380,673,390,962 is 77865925020.
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FAQs on LCM of 844, 380, 673, 390, 962
1. What is the LCM of 844, 380, 673, 390, 962?
Answer: LCM of 844, 380, 673, 390, 962 is 77865925020.
2. How to calculate the LCM of 844, 380, 673, 390, 962?
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, 380, 673, 390, 962.
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}.