LCM of 639, 272, 753, 264, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 272, 753, 264, 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, 272, 753, 264, 888. So, keep reading to learn more.
Given numbers are 639,272,753,264,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,272,753,264,888 is 17755703856.
Find LCM of 639,272,753,264,888 with Prime Factorization
| 2 | 639, 272, 753, 264, 888 |
| 2 | 639, 136, 753, 132, 444 |
| 2 | 639, 68, 753, 66, 222 |
| 3 | 639, 34, 753, 33, 111 |
| 213, 34, 251, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 213 x 34 x 251 x 11 x 37 = 17755703856
Therefore, the lowest common multiple of 639,272,753,264,888 is 17755703856.
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 272 x 753 x 264 x 888 = 30681856263168
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
753 : 1, 3, 251, 753
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 639,272,753,264,888, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
272:2x 2x 2x 2x 17
753:3x 251
264:2x 2x 2x 3x 11
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 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 30681856263168/(1x1728)
LCM = 30681856263168/1728
LCM = 17755703856
Thus, we can understand that the LCM of 639,272,753,264,888 is 17755703856.
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FAQs on LCM of 639, 272, 753, 264, 888
1. What is the LCM of 639, 272, 753, 264, 888?
Answer: LCM of 639, 272, 753, 264, 888 is 17755703856.
2. How to calculate the LCM of 639, 272, 753, 264, 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, 272, 753, 264, 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}.