LCM of 229, 438, 725, 640, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 438, 725, 640, 636 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 229, 438, 725, 640, 636. So, keep reading to learn more.
Given numbers are 229,438,725,640,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,438,725,640,636 is 246662678400.
Find LCM of 229,438,725,640,636 with Prime Factorization
| 2 | 229, 438, 725, 640, 636 |
| 2 | 229, 219, 725, 320, 318 |
| 3 | 229, 219, 725, 160, 159 |
| 5 | 229, 73, 725, 160, 53 |
| 229, 73, 145, 32, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 229 x 73 x 145 x 32 x 53 = 246662678400
Therefore, the lowest common multiple of 229,438,725,640,636 is 246662678400.
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.
229 x 438 x 725 x 640 x 636 = 29599521408000
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.
229 : 1, 229
438 : 1, 2, 3, 6, 73, 146, 219, 438
725 : 1, 5, 25, 29, 145, 725
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,438,725,640,636, is 1.
Now, the common factors can be found like this.
229:229
438:2x 3x 73
725:5x 5x 29
640:2x 2x 2x 2x 2x 2x 2x 5
636:2x 2x 3x 53
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 5 = 120
Therefore, the value for common factors is 120.
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 = 29599521408000/(1x120)
LCM = 29599521408000/120
LCM = 246662678400
Thus, we can understand that the LCM of 229,438,725,640,636 is 246662678400.
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FAQs on LCM of 229, 438, 725, 640, 636
1. What is the LCM of 229, 438, 725, 640, 636?
Answer: LCM of 229, 438, 725, 640, 636 is 246662678400.
2. How to calculate the LCM of 229, 438, 725, 640, 636?
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 229, 438, 725, 640, 636.
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}.