LCM of 843, 904, 678, 372, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 904, 678, 372, 402 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 843, 904, 678, 372, 402. So, keep reading to learn more.
Given numbers are 843,904,678,372,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,904,678,372,402 is 1582823544.
Find LCM of 843,904,678,372,402 with Prime Factorization
| 2 | 843, 904, 678, 372, 402 |
| 2 | 843, 452, 339, 186, 201 |
| 3 | 843, 226, 339, 93, 201 |
| 113 | 281, 226, 113, 31, 67 |
| 281, 2, 1, 31, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 281 x 2 x 1 x 31 x 67 = 1582823544
Therefore, the lowest common multiple of 843,904,678,372,402 is 1582823544.
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.
843 x 904 x 678 x 372 x 402 = 77267114123904
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.
843 : 1, 3, 281, 843
904 : 1, 2, 4, 8, 113, 226, 452, 904
678 : 1, 2, 3, 6, 113, 226, 339, 678
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,904,678,372,402, is 1.
Now, the common factors can be found like this.
843:3x 281
904:2x 2x 2x 113
678:2x 3x 113
372:2x 2x 3x 31
402:2x 3x 67
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 3x 3x 113 = 48816
Therefore, the value for common factors is 48816.
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 = 77267114123904/(1x48816)
LCM = 77267114123904/48816
LCM = 1582823544
Thus, we can understand that the LCM of 843,904,678,372,402 is 1582823544.
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FAQs on LCM of 843, 904, 678, 372, 402
1. What is the LCM of 843, 904, 678, 372, 402?
Answer: LCM of 843, 904, 678, 372, 402 is 1582823544.
2. How to calculate the LCM of 843, 904, 678, 372, 402?
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 843, 904, 678, 372, 402.
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}.