LCM of 616, 625, 638, 175, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 625, 638, 175, 415 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 616, 625, 638, 175, 415. So, keep reading to learn more.
Given numbers are 616,625,638,175,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,625,638,175,415 is 926695000.
Find LCM of 616,625,638,175,415 with Prime Factorization
| 2 | 616, 625, 638, 175, 415 |
| 5 | 308, 625, 319, 175, 415 |
| 5 | 308, 125, 319, 35, 83 |
| 7 | 308, 25, 319, 7, 83 |
| 11 | 44, 25, 319, 1, 83 |
| 4, 25, 29, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 11 x 4 x 25 x 29 x 1 x 83 = 926695000
Therefore, the lowest common multiple of 616,625,638,175,415 is 926695000.
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.
616 x 625 x 638 x 175 x 415 = 17838878750000
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
625 : 1, 5, 25, 125, 625
638 : 1, 2, 11, 22, 29, 58, 319, 638
175 : 1, 5, 7, 25, 35, 175
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,625,638,175,415, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
625:5x 5x 5x 5
638:2x 11x 29
175:5x 5x 7
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 7x 11 = 19250
Therefore, the value for common factors is 19250.
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 = 17838878750000/(1x19250)
LCM = 17838878750000/19250
LCM = 926695000
Thus, we can understand that the LCM of 616,625,638,175,415 is 926695000.
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FAQs on LCM of 616, 625, 638, 175, 415
1. What is the LCM of 616, 625, 638, 175, 415?
Answer: LCM of 616, 625, 638, 175, 415 is 926695000.
2. How to calculate the LCM of 616, 625, 638, 175, 415?
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 616, 625, 638, 175, 415.
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}.