LCM of 650, 901, 656, 306, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 901, 656, 306, 312 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 650, 901, 656, 306, 312. So, keep reading to learn more.
Given numbers are 650,901,656,306,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,901,656,306,312 is 1728838800.
Find LCM of 650,901,656,306,312 with Prime Factorization
| 2 | 650, 901, 656, 306, 312 |
| 2 | 325, 901, 328, 153, 156 |
| 2 | 325, 901, 164, 153, 78 |
| 3 | 325, 901, 82, 153, 39 |
| 13 | 325, 901, 82, 51, 13 |
| 17 | 25, 901, 82, 51, 1 |
| 25, 53, 82, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 25 x 53 x 82 x 3 x 1 = 1728838800
Therefore, the lowest common multiple of 650,901,656,306,312 is 1728838800.
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.
650 x 901 x 656 x 306 x 312 = 36679043980800
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
901 : 1, 17, 53, 901
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,901,656,306,312, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
901:17x 53
656:2x 2x 2x 2x 41
306:2x 3x 3x 17
312:2x 2x 2x 3x 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 2x 3x 13x 17 = 21216
Therefore, the value for common factors is 21216.
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 = 36679043980800/(1x21216)
LCM = 36679043980800/21216
LCM = 1728838800
Thus, we can understand that the LCM of 650,901,656,306,312 is 1728838800.
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FAQs on LCM of 650, 901, 656, 306, 312
1. What is the LCM of 650, 901, 656, 306, 312?
Answer: LCM of 650, 901, 656, 306, 312 is 1728838800.
2. How to calculate the LCM of 650, 901, 656, 306, 312?
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 650, 901, 656, 306, 312.
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}.