LCM of 884, 638, 412, 765, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 638, 412, 765, 426 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 884, 638, 412, 765, 426. So, keep reading to learn more.
Given numbers are 884,638,412,765,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,638,412,765,426 is 92800653660.
Find LCM of 884,638,412,765,426 with Prime Factorization
| 2 | 884, 638, 412, 765, 426 |
| 2 | 442, 319, 206, 765, 213 |
| 3 | 221, 319, 103, 765, 213 |
| 17 | 221, 319, 103, 255, 71 |
| 13, 319, 103, 15, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 13 x 319 x 103 x 15 x 71 = 92800653660
Therefore, the lowest common multiple of 884,638,412,765,426 is 92800653660.
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.
884 x 638 x 412 x 765 x 426 = 75725333386560
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
638 : 1, 2, 11, 22, 29, 58, 319, 638
412 : 1, 2, 4, 103, 206, 412
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,638,412,765,426, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
638:2x 11x 29
412:2x 2x 103
765:3x 3x 5x 17
426:2x 3x 71
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 75725333386560/(1x816)
LCM = 75725333386560/816
LCM = 92800653660
Thus, we can understand that the LCM of 884,638,412,765,426 is 92800653660.
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FAQs on LCM of 884, 638, 412, 765, 426
1. What is the LCM of 884, 638, 412, 765, 426?
Answer: LCM of 884, 638, 412, 765, 426 is 92800653660.
2. How to calculate the LCM of 884, 638, 412, 765, 426?
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 884, 638, 412, 765, 426.
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}.