LCM of 771, 988, 418, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 988, 418, 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 771, 988, 418, 164. So, keep reading to learn more.
Given numbers are 771,988,418,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,988,418,164 is 343548348.
Find LCM of 771,988,418,164 with Prime Factorization
| 2 | 771, 988, 418, 164 |
| 2 | 771, 494, 209, 82 |
| 19 | 771, 247, 209, 41 |
| 771, 13, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 771 x 13 x 11 x 41 = 343548348
Therefore, the lowest common multiple of 771,988,418,164 is 343548348.
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.
771 x 988 x 418 x 164 = 52219348896
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.
771 : 1, 3, 257, 771
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 771,988,418,164, is 1.
Now, the common factors can be found like this.
771:3x 257
988:2x 2x 13x 19
418:2x 11x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 52219348896/(1x152)
LCM = 52219348896/152
LCM = 343548348
Thus, we can understand that the LCM of 771,988,418,164 is 343548348.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 771, 988, 418, 164
1. What is the LCM of 771, 988, 418, 164?
Answer: LCM of 771, 988, 418, 164 is 343548348.
2. How to calculate the LCM of 771, 988, 418, 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 771, 988, 418, 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}.