LCM of 164, 207, 962, 533, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 207, 962, 533, 279 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 164, 207, 962, 533, 279. So, keep reading to learn more.
Given numbers are 164,207,962,533,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,207,962,533,279 is 506198628.
Find LCM of 164,207,962,533,279 with Prime Factorization
| 2 | 164, 207, 962, 533, 279 |
| 3 | 82, 207, 481, 533, 279 |
| 3 | 82, 69, 481, 533, 93 |
| 13 | 82, 23, 481, 533, 31 |
| 41 | 82, 23, 37, 41, 31 |
| 2, 23, 37, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 41 x 2 x 23 x 37 x 1 x 31 = 506198628
Therefore, the lowest common multiple of 164,207,962,533,279 is 506198628.
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.
164 x 207 x 962 x 533 x 279 = 4856469637032
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.
164 : 1, 2, 4, 41, 82, 164
207 : 1, 3, 9, 23, 69, 207
962 : 1, 2, 13, 26, 37, 74, 481, 962
533 : 1, 13, 41, 533
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,207,962,533,279, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
207:3x 3x 23
962:2x 13x 37
533:13x 41
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 41 = 9594
Therefore, the value for common factors is 9594.
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 = 4856469637032/(1x9594)
LCM = 4856469637032/9594
LCM = 506198628
Thus, we can understand that the LCM of 164,207,962,533,279 is 506198628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 164, 207, 962, 533, 279
1. What is the LCM of 164, 207, 962, 533, 279?
Answer: LCM of 164, 207, 962, 533, 279 is 506198628.
2. How to calculate the LCM of 164, 207, 962, 533, 279?
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 164, 207, 962, 533, 279.
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}.