LCM of 418, 780, 546, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 780, 546, 162 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 418, 780, 546, 162. So, keep reading to learn more.
Given numbers are 418,780,546,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,780,546,162 is 30810780.
Find LCM of 418,780,546,162 with Prime Factorization
| 2 | 418, 780, 546, 162 |
| 3 | 209, 390, 273, 81 |
| 13 | 209, 130, 91, 27 |
| 209, 10, 7, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 209 x 10 x 7 x 27 = 30810780
Therefore, the lowest common multiple of 418,780,546,162 is 30810780.
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.
418 x 780 x 546 x 162 = 28838890080
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,780,546,162, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
780:2x 2x 3x 5x 13
546:2x 3x 7x 13
162:2x 3x 3x 3x 3
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 28838890080/(2x468)
LCM = 28838890080/936
LCM = 30810780
Thus, we can understand that the LCM of 418,780,546,162 is 30810780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 780, 546, 162
1. What is the LCM of 418, 780, 546, 162?
Answer: LCM of 418, 780, 546, 162 is 30810780.
2. How to calculate the LCM of 418, 780, 546, 162?
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 418, 780, 546, 162.
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}.