LCM of 770, 872, 642, 369, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 872, 642, 369, 164 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 770, 872, 642, 369, 164. So, keep reading to learn more.
Given numbers are 770,872,642,369,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,872,642,369,164 is 13255232760.
Find LCM of 770,872,642,369,164 with Prime Factorization
| 2 | 770, 872, 642, 369, 164 |
| 2 | 385, 436, 321, 369, 82 |
| 3 | 385, 218, 321, 369, 41 |
| 41 | 385, 218, 107, 123, 41 |
| 385, 218, 107, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 385 x 218 x 107 x 3 x 1 = 13255232760
Therefore, the lowest common multiple of 770,872,642,369,164 is 13255232760.
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.
770 x 872 x 642 x 369 x 164 = 26086298071680
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
872 : 1, 2, 4, 8, 109, 218, 436, 872
642 : 1, 2, 3, 6, 107, 214, 321, 642
369 : 1, 3, 9, 41, 123, 369
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,872,642,369,164, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
872:2x 2x 2x 109
642:2x 3x 107
369:3x 3x 41
164:2x 2x 41
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 41 = 1968
Therefore, the value for common factors is 1968.
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 = 26086298071680/(1x1968)
LCM = 26086298071680/1968
LCM = 13255232760
Thus, we can understand that the LCM of 770,872,642,369,164 is 13255232760.
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FAQs on LCM of 770, 872, 642, 369, 164
1. What is the LCM of 770, 872, 642, 369, 164?
Answer: LCM of 770, 872, 642, 369, 164 is 13255232760.
2. How to calculate the LCM of 770, 872, 642, 369, 164?
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 770, 872, 642, 369, 164.
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}.