LCM of 660, 684, 493, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 684, 493, 112 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 660, 684, 493, 112. So, keep reading to learn more.
Given numbers are 660,684,493,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,684,493,112 is 519306480.
Find LCM of 660,684,493,112 with Prime Factorization
| 2 | 660, 684, 493, 112 |
| 2 | 330, 342, 493, 56 |
| 3 | 165, 171, 493, 28 |
| 55, 57, 493, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 55 x 57 x 493 x 28 = 519306480
Therefore, the lowest common multiple of 660,684,493,112 is 519306480.
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.
660 x 684 x 493 x 112 = 24926711040
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
493 : 1, 17, 29, 493
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,684,493,112, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
684:2x 2x 3x 3x 19
493:17x 29
112:2x 2x 2x 2x 7
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 = 24926711040/(1x48)
LCM = 24926711040/48
LCM = 519306480
Thus, we can understand that the LCM of 660,684,493,112 is 519306480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 660, 684, 493, 112
1. What is the LCM of 660, 684, 493, 112?
Answer: LCM of 660, 684, 493, 112 is 519306480.
2. How to calculate the LCM of 660, 684, 493, 112?
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 660, 684, 493, 112.
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}.