LCM of 662, 378, 412, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 378, 412, 546 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 662, 378, 412, 546. So, keep reading to learn more.
Given numbers are 662,378,412,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,378,412,546 is 335066004.
Find LCM of 662,378,412,546 with Prime Factorization
| 2 | 662, 378, 412, 546 |
| 3 | 331, 189, 206, 273 |
| 7 | 331, 63, 206, 91 |
| 331, 9, 206, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 331 x 9 x 206 x 13 = 335066004
Therefore, the lowest common multiple of 662,378,412,546 is 335066004.
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.
662 x 378 x 412 x 546 = 56291088672
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.
662 : 1, 2, 331, 662
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
412 : 1, 2, 4, 103, 206, 412
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,378,412,546, is 2.
Now, the common factors can be found like this.
662:2x 331
378:2x 3x 3x 3x 7
412:2x 2x 103
546:2x 3x 7x 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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 56291088672/(2x84)
LCM = 56291088672/168
LCM = 335066004
Thus, we can understand that the LCM of 662,378,412,546 is 335066004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 662, 378, 412, 546
1. What is the LCM of 662, 378, 412, 546?
Answer: LCM of 662, 378, 412, 546 is 335066004.
2. How to calculate the LCM of 662, 378, 412, 546?
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 662, 378, 412, 546.
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}.