LCM of 107, 456, 184, 322, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 456, 184, 322, 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 107, 456, 184, 322, 567. So, keep reading to learn more.
Given numbers are 107,456,184,322,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,456,184,322,567 is 212098824.
Find LCM of 107,456,184,322,567 with Prime Factorization
| 2 | 107, 456, 184, 322, 567 |
| 2 | 107, 228, 92, 161, 567 |
| 2 | 107, 114, 46, 161, 567 |
| 3 | 107, 57, 23, 161, 567 |
| 7 | 107, 19, 23, 161, 189 |
| 23 | 107, 19, 23, 23, 27 |
| 107, 19, 1, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 107 x 19 x 1 x 1 x 27 = 212098824
Therefore, the lowest common multiple of 107,456,184,322,567 is 212098824.
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.
107 x 456 x 184 x 322 x 567 = 1639099711872
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.
107 : 1, 107
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
184 : 1, 2, 4, 8, 23, 46, 92, 184
322 : 1, 2, 7, 14, 23, 46, 161, 322
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 107,456,184,322,567, is 1.
Now, the common factors can be found like this.
107:107
456:2x 2x 2x 3x 19
184:2x 2x 2x 23
322:2x 7x 23
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 3x 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 1639099711872/(1x7728)
LCM = 1639099711872/7728
LCM = 212098824
Thus, we can understand that the LCM of 107,456,184,322,567 is 212098824.
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FAQs on LCM of 107, 456, 184, 322, 567
1. What is the LCM of 107, 456, 184, 322, 567?
Answer: LCM of 107, 456, 184, 322, 567 is 212098824.
2. How to calculate the LCM of 107, 456, 184, 322, 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 107, 456, 184, 322, 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}.