LCM of 639, 974, 904, 642, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 974, 904, 642, 888 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, 974, 904, 642, 888. So, keep reading to learn more.
Given numbers are 639,974,904,642,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,974,904,642,888 is 1113739830648.
Find LCM of 639,974,904,642,888 with Prime Factorization
| 2 | 639, 974, 904, 642, 888 |
| 2 | 639, 487, 452, 321, 444 |
| 2 | 639, 487, 226, 321, 222 |
| 3 | 639, 487, 113, 321, 111 |
| 213, 487, 113, 107, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 213 x 487 x 113 x 107 x 37 = 1113739830648
Therefore, the lowest common multiple of 639,974,904,642,888 is 1113739830648.
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 974 x 904 x 642 x 888 = 320757071226624
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
974 : 1, 2, 487, 974
904 : 1, 2, 4, 8, 113, 226, 452, 904
642 : 1, 2, 3, 6, 107, 214, 321, 642
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,974,904,642,888, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
974:2x 487
904:2x 2x 2x 113
642:2x 3x 107
888:2x 2x 2x 3x 37
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 320757071226624/(1x288)
LCM = 320757071226624/288
LCM = 1113739830648
Thus, we can understand that the LCM of 639,974,904,642,888 is 1113739830648.
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FAQs on LCM of 639, 974, 904, 642, 888
1. What is the LCM of 639, 974, 904, 642, 888?
Answer: LCM of 639, 974, 904, 642, 888 is 1113739830648.
2. How to calculate the LCM of 639, 974, 904, 642, 888?
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, 974, 904, 642, 888.
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}.