LCM of 164, 619, 535, 369, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 619, 535, 369, 477 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, 619, 535, 369, 477. So, keep reading to learn more.
Given numbers are 164,619,535,369,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,619,535,369,477 is 25906375620.
Find LCM of 164,619,535,369,477 with Prime Factorization
| 3 | 164, 619, 535, 369, 477 |
| 3 | 164, 619, 535, 123, 159 |
| 41 | 164, 619, 535, 41, 53 |
| 4, 619, 535, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 4 x 619 x 535 x 1 x 53 = 25906375620
Therefore, the lowest common multiple of 164,619,535,369,477 is 25906375620.
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 619 x 535 x 369 x 477 = 9559452603780
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
619 : 1, 619
535 : 1, 5, 107, 535
369 : 1, 3, 9, 41, 123, 369
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,619,535,369,477, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
619:619
535:5x 107
369:3x 3x 41
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 41 = 369
Therefore, the value for common factors is 369.
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 = 9559452603780/(1x369)
LCM = 9559452603780/369
LCM = 25906375620
Thus, we can understand that the LCM of 164,619,535,369,477 is 25906375620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 164, 619, 535, 369, 477
1. What is the LCM of 164, 619, 535, 369, 477?
Answer: LCM of 164, 619, 535, 369, 477 is 25906375620.
2. How to calculate the LCM of 164, 619, 535, 369, 477?
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, 619, 535, 369, 477.
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}.