LCM of 312, 904, 748, 622, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 904, 748, 622, 567 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 312, 904, 748, 622, 567. So, keep reading to learn more.
Given numbers are 312,904,748,622,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,904,748,622,567 is 387522423288.
Find LCM of 312,904,748,622,567 with Prime Factorization
| 2 | 312, 904, 748, 622, 567 |
| 2 | 156, 452, 374, 311, 567 |
| 2 | 78, 226, 187, 311, 567 |
| 3 | 39, 113, 187, 311, 567 |
| 13, 113, 187, 311, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 113 x 187 x 311 x 189 = 387522423288
Therefore, the lowest common multiple of 312,904,748,622,567 is 387522423288.
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.
312 x 904 x 748 x 622 x 567 = 74404305271296
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
904 : 1, 2, 4, 8, 113, 226, 452, 904
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
622 : 1, 2, 311, 622
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,904,748,622,567, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
904:2x 2x 2x 113
748:2x 2x 11x 17
622:2x 311
567:3x 3x 3x 3x 7
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 3 = 192
Therefore, the value for common factors is 192.
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 = 74404305271296/(1x192)
LCM = 74404305271296/192
LCM = 387522423288
Thus, we can understand that the LCM of 312,904,748,622,567 is 387522423288.
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FAQs on LCM of 312, 904, 748, 622, 567
1. What is the LCM of 312, 904, 748, 622, 567?
Answer: LCM of 312, 904, 748, 622, 567 is 387522423288.
2. How to calculate the LCM of 312, 904, 748, 622, 567?
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 312, 904, 748, 622, 567.
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}.