LCM of 799, 628, 187, 374, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 628, 187, 374, 391 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 799, 628, 187, 374, 391. So, keep reading to learn more.
Given numbers are 799,628,187,374,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,628,187,374,391 is 126948316.
Find LCM of 799,628,187,374,391 with Prime Factorization
| 2 | 799, 628, 187, 374, 391 |
| 11 | 799, 314, 187, 187, 391 |
| 17 | 799, 314, 17, 17, 391 |
| 47, 314, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 47 x 314 x 1 x 1 x 23 = 126948316
Therefore, the lowest common multiple of 799,628,187,374,391 is 126948316.
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.
799 x 628 x 187 x 374 x 391 = 13721335683176
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.
799 : 1, 17, 47, 799
628 : 1, 2, 4, 157, 314, 628
187 : 1, 11, 17, 187
374 : 1, 2, 11, 17, 22, 34, 187, 374
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,628,187,374,391, is 1.
Now, the common factors can be found like this.
799:17x 47
628:2x 2x 157
187:11x 17
374:2x 11x 17
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17x 17x 17 = 108086
Therefore, the value for common factors is 108086.
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 = 13721335683176/(1x108086)
LCM = 13721335683176/108086
LCM = 126948316
Thus, we can understand that the LCM of 799,628,187,374,391 is 126948316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 628, 187, 374, 391
1. What is the LCM of 799, 628, 187, 374, 391?
Answer: LCM of 799, 628, 187, 374, 391 is 126948316.
2. How to calculate the LCM of 799, 628, 187, 374, 391?
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 799, 628, 187, 374, 391.
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}.