LCM of 668, 105, 546, 927, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 105, 546, 927, 780 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 668, 105, 546, 927, 780. So, keep reading to learn more.
Given numbers are 668,105,546,927,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,105,546,927,780 is 281752380.
Find LCM of 668,105,546,927,780 with Prime Factorization
| 2 | 668, 105, 546, 927, 780 |
| 2 | 334, 105, 273, 927, 390 |
| 3 | 167, 105, 273, 927, 195 |
| 5 | 167, 35, 91, 309, 65 |
| 7 | 167, 7, 91, 309, 13 |
| 13 | 167, 1, 13, 309, 13 |
| 167, 1, 1, 309, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 167 x 1 x 1 x 309 x 1 = 281752380
Therefore, the lowest common multiple of 668,105,546,927,780 is 281752380.
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.
668 x 105 x 546 x 927 x 780 = 27690623906400
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.
668 : 1, 2, 4, 167, 334, 668
105 : 1, 3, 5, 7, 15, 21, 35, 105
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
927 : 1, 3, 9, 103, 309, 927
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,105,546,927,780, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
105:3x 5x 7
546:2x 3x 7x 13
927:3x 3x 103
780:2x 2x 3x 5x 13
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 3x 3x 3x 5x 7x 13 = 98280
Therefore, the value for common factors is 98280.
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 = 27690623906400/(1x98280)
LCM = 27690623906400/98280
LCM = 281752380
Thus, we can understand that the LCM of 668,105,546,927,780 is 281752380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 105, 546, 927, 780
1. What is the LCM of 668, 105, 546, 927, 780?
Answer: LCM of 668, 105, 546, 927, 780 is 281752380.
2. How to calculate the LCM of 668, 105, 546, 927, 780?
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 668, 105, 546, 927, 780.
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}.