LCM of 668, 923, 772, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 923, 772, 284 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 668, 923, 772, 284. So, keep reading to learn more.
Given numbers are 668,923,772,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,923,772,284 is 118996852.
Find LCM of 668,923,772,284 with Prime Factorization
| 2 | 668, 923, 772, 284 |
| 2 | 334, 923, 386, 142 |
| 71 | 167, 923, 193, 71 |
| 167, 13, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 167 x 13 x 193 x 1 = 118996852
Therefore, the lowest common multiple of 668,923,772,284 is 118996852.
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.
668 x 923 x 772 x 284 = 135180423872
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.
668 : 1, 2, 4, 167, 334, 668
923 : 1, 13, 71, 923
772 : 1, 2, 4, 193, 386, 772
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,923,772,284, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
923:13x 71
772:2x 2x 193
284:2x 2x 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 71 = 1136
Therefore, the value for common factors is 1136.
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 = 135180423872/(1x1136)
LCM = 135180423872/1136
LCM = 118996852
Thus, we can understand that the LCM of 668,923,772,284 is 118996852.
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FAQs on LCM of 668, 923, 772, 284
1. What is the LCM of 668, 923, 772, 284?
Answer: LCM of 668, 923, 772, 284 is 118996852.
2. How to calculate the LCM of 668, 923, 772, 284?
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 668, 923, 772, 284.
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}.