LCM of 838, 376, 656, 420, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 376, 656, 420, 765 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 838, 376, 656, 420, 765. So, keep reading to learn more.
Given numbers are 838,376,656,420,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,376,656,420,765 is 69179145840.
Find LCM of 838,376,656,420,765 with Prime Factorization
| 2 | 838, 376, 656, 420, 765 |
| 2 | 419, 188, 328, 210, 765 |
| 2 | 419, 94, 164, 105, 765 |
| 3 | 419, 47, 82, 105, 765 |
| 5 | 419, 47, 82, 35, 255 |
| 419, 47, 82, 7, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 419 x 47 x 82 x 7 x 51 = 69179145840
Therefore, the lowest common multiple of 838,376,656,420,765 is 69179145840.
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.
838 x 376 x 656 x 420 x 765 = 66411980006400
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.
838 : 1, 2, 419, 838
376 : 1, 2, 4, 8, 47, 94, 188, 376
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,376,656,420,765, is 1.
Now, the common factors can be found like this.
838:2x 419
376:2x 2x 2x 47
656:2x 2x 2x 2x 41
420:2x 2x 3x 5x 7
765:3x 3x 5x 17
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 5 = 960
Therefore, the value for common factors is 960.
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 = 66411980006400/(1x960)
LCM = 66411980006400/960
LCM = 69179145840
Thus, we can understand that the LCM of 838,376,656,420,765 is 69179145840.
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FAQs on LCM of 838, 376, 656, 420, 765
1. What is the LCM of 838, 376, 656, 420, 765?
Answer: LCM of 838, 376, 656, 420, 765 is 69179145840.
2. How to calculate the LCM of 838, 376, 656, 420, 765?
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 838, 376, 656, 420, 765.
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}.