LCM of 639, 144, 417, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 144, 417, 752 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 639, 144, 417, 752. So, keep reading to learn more.
Given numbers are 639,144,417,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,144,417,752 is 66793392.
Find LCM of 639,144,417,752 with Prime Factorization
| 2 | 639, 144, 417, 752 |
| 2 | 639, 72, 417, 376 |
| 2 | 639, 36, 417, 188 |
| 2 | 639, 18, 417, 94 |
| 3 | 639, 9, 417, 47 |
| 3 | 213, 3, 139, 47 |
| 71, 1, 139, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 71 x 1 x 139 x 47 = 66793392
Therefore, the lowest common multiple of 639,144,417,752 is 66793392.
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.
639 x 144 x 417 x 752 = 28854745344
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.
639 : 1, 3, 9, 71, 213, 639
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
417 : 1, 3, 139, 417
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,144,417,752, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
144:2x 2x 2x 2x 3x 3
417:3x 139
752:2x 2x 2x 2x 47
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 28854745344/(1x432)
LCM = 28854745344/432
LCM = 66793392
Thus, we can understand that the LCM of 639,144,417,752 is 66793392.
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FAQs on LCM of 639, 144, 417, 752
1. What is the LCM of 639, 144, 417, 752?
Answer: LCM of 639, 144, 417, 752 is 66793392.
2. How to calculate the LCM of 639, 144, 417, 752?
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 639, 144, 417, 752.
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}.