LCM of 374, 586, 836, 517, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 586, 836, 517, 647 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 374, 586, 836, 517, 647. So, keep reading to learn more.
Given numbers are 374,586,836,517,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,586,836,517,647 is 126626603444.
Find LCM of 374,586,836,517,647 with Prime Factorization
| 2 | 374, 586, 836, 517, 647 |
| 11 | 187, 293, 418, 517, 647 |
| 17, 293, 38, 47, 647 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 293 x 38 x 47 x 647 = 126626603444
Therefore, the lowest common multiple of 374,586,836,517,647 is 126626603444.
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.
374 x 586 x 836 x 517 x 647 = 61287276066896
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
586 : 1, 2, 293, 586
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
517 : 1, 11, 47, 517
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,586,836,517,647, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
586:2x 293
836:2x 2x 11x 19
517:11x 47
647:647
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 61287276066896/(1x484)
LCM = 61287276066896/484
LCM = 126626603444
Thus, we can understand that the LCM of 374,586,836,517,647 is 126626603444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 586, 836, 517, 647
1. What is the LCM of 374, 586, 836, 517, 647?
Answer: LCM of 374, 586, 836, 517, 647 is 126626603444.
2. How to calculate the LCM of 374, 586, 836, 517, 647?
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 374, 586, 836, 517, 647.
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}.