LCM of 368, 648, 815, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 648, 815, 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 368, 648, 815, 546. So, keep reading to learn more.
Given numbers are 368,648,815,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,648,815,546 is 2210710320.
Find LCM of 368,648,815,546 with Prime Factorization
| 2 | 368, 648, 815, 546 |
| 2 | 184, 324, 815, 273 |
| 2 | 92, 162, 815, 273 |
| 3 | 46, 81, 815, 273 |
| 46, 27, 815, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 46 x 27 x 815 x 91 = 2210710320
Therefore, the lowest common multiple of 368,648,815,546 is 2210710320.
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.
368 x 648 x 815 x 546 = 106114095360
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
815 : 1, 5, 163, 815
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,648,815,546, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
648:2x 2x 2x 3x 3x 3x 3
815:5x 163
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 106114095360/(1x48)
LCM = 106114095360/48
LCM = 2210710320
Thus, we can understand that the LCM of 368,648,815,546 is 2210710320.
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FAQs on LCM of 368, 648, 815, 546
1. What is the LCM of 368, 648, 815, 546?
Answer: LCM of 368, 648, 815, 546 is 2210710320.
2. How to calculate the LCM of 368, 648, 815, 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 368, 648, 815, 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}.