LCM of 639, 759, 873, 280, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 759, 873, 280, 144 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, 759, 873, 280, 144. So, keep reading to learn more.
Given numbers are 639,759,873,280,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,759,873,280,144 is 8781751440.
Find LCM of 639,759,873,280,144 with Prime Factorization
| 2 | 639, 759, 873, 280, 144 |
| 2 | 639, 759, 873, 140, 72 |
| 2 | 639, 759, 873, 70, 36 |
| 3 | 639, 759, 873, 35, 18 |
| 3 | 213, 253, 291, 35, 6 |
| 71, 253, 97, 35, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 71 x 253 x 97 x 35 x 2 = 8781751440
Therefore, the lowest common multiple of 639,759,873,280,144 is 8781751440.
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 759 x 873 x 280 x 144 = 17071724799360
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
873 : 1, 3, 9, 97, 291, 873
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,759,873,280,144, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
759:3x 11x 23
873:3x 3x 97
280:2x 2x 2x 5x 7
144:2x 2x 2x 2x 3x 3
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 17071724799360/(1x1944)
LCM = 17071724799360/1944
LCM = 8781751440
Thus, we can understand that the LCM of 639,759,873,280,144 is 8781751440.
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FAQs on LCM of 639, 759, 873, 280, 144
1. What is the LCM of 639, 759, 873, 280, 144?
Answer: LCM of 639, 759, 873, 280, 144 is 8781751440.
2. How to calculate the LCM of 639, 759, 873, 280, 144?
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, 759, 873, 280, 144.
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}.