LCM of 939, 671, 626, 440, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 671, 626, 440, 995 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 939, 671, 626, 440, 995. So, keep reading to learn more.
Given numbers are 939,671,626,440,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,671,626,440,995 is 5015349240.
Find LCM of 939,671,626,440,995 with Prime Factorization
| 2 | 939, 671, 626, 440, 995 |
| 5 | 939, 671, 313, 220, 995 |
| 11 | 939, 671, 313, 44, 199 |
| 313 | 939, 61, 313, 4, 199 |
| 3, 61, 1, 4, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 313 x 3 x 61 x 1 x 4 x 199 = 5015349240
Therefore, the lowest common multiple of 939,671,626,440,995 is 5015349240.
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.
939 x 671 x 626 x 440 x 995 = 172678474333200
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.
939 : 1, 3, 313, 939
671 : 1, 11, 61, 671
626 : 1, 2, 313, 626
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,671,626,440,995, is 1.
Now, the common factors can be found like this.
939:3x 313
671:11x 61
626:2x 313
440:2x 2x 2x 5x 11
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 313 = 34430
Therefore, the value for common factors is 34430.
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 = 172678474333200/(1x34430)
LCM = 172678474333200/34430
LCM = 5015349240
Thus, we can understand that the LCM of 939,671,626,440,995 is 5015349240.
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FAQs on LCM of 939, 671, 626, 440, 995
1. What is the LCM of 939, 671, 626, 440, 995?
Answer: LCM of 939, 671, 626, 440, 995 is 5015349240.
2. How to calculate the LCM of 939, 671, 626, 440, 995?
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 939, 671, 626, 440, 995.
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}.