LCM of 664, 138, 510, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 664, 138, 510, 306 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 664, 138, 510, 306. So, keep reading to learn more.
Given numbers are 664,138,510,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,138,510,306 is 11683080.
Find LCM of 664,138,510,306 with Prime Factorization
| 2 | 664, 138, 510, 306 |
| 3 | 332, 69, 255, 153 |
| 17 | 332, 23, 85, 51 |
| 332, 23, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 332 x 23 x 5 x 3 = 11683080
Therefore, the lowest common multiple of 664,138,510,306 is 11683080.
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.
664 x 138 x 510 x 306 = 14300089920
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
138 : 1, 2, 3, 6, 23, 46, 69, 138
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,138,510,306, is 2.
Now, the common factors can be found like this.
664:2x 2x 2x 83
138:2x 3x 23
510:2x 3x 5x 17
306:2x 3x 3x 17
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 17 = 612
Therefore, the value for common factors is 612.
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 = 14300089920/(2x612)
LCM = 14300089920/1224
LCM = 11683080
Thus, we can understand that the LCM of 664,138,510,306 is 11683080.
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FAQs on LCM of 664, 138, 510, 306
1. What is the LCM of 664, 138, 510, 306?
Answer: LCM of 664, 138, 510, 306 is 11683080.
2. How to calculate the LCM of 664, 138, 510, 306?
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 664, 138, 510, 306.
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}.