LCM of 844, 791, 860, 724, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 791, 860, 724, 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 844, 791, 860, 724, 392. So, keep reading to learn more.
Given numbers are 844,791,860,724,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,791,860,724,392 is 363717335240.
Find LCM of 844,791,860,724,392 with Prime Factorization
| 2 | 844, 791, 860, 724, 392 |
| 2 | 422, 791, 430, 362, 196 |
| 7 | 211, 791, 215, 181, 98 |
| 211, 113, 215, 181, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 211 x 113 x 215 x 181 x 14 = 363717335240
Therefore, the lowest common multiple of 844,791,860,724,392 is 363717335240.
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 791 x 860 x 724 x 392 = 162945366187520
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
791 : 1, 7, 113, 791
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
724 : 1, 2, 4, 181, 362, 724
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,791,860,724,392, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
791:7x 113
860:2x 2x 5x 43
724:2x 2x 181
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 162945366187520/(1x448)
LCM = 162945366187520/448
LCM = 363717335240
Thus, we can understand that the LCM of 844,791,860,724,392 is 363717335240.
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FAQs on LCM of 844, 791, 860, 724, 392
1. What is the LCM of 844, 791, 860, 724, 392?
Answer: LCM of 844, 791, 860, 724, 392 is 363717335240.
2. How to calculate the LCM of 844, 791, 860, 724, 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 844, 791, 860, 724, 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}.