LCM of 848, 309, 722, 680, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 309, 722, 680, 265 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 848, 309, 722, 680, 265. So, keep reading to learn more.
Given numbers are 848,309,722,680,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,309,722,680,265 is 8040451920.
Find LCM of 848,309,722,680,265 with Prime Factorization
| 2 | 848, 309, 722, 680, 265 |
| 2 | 424, 309, 361, 340, 265 |
| 2 | 212, 309, 361, 170, 265 |
| 5 | 106, 309, 361, 85, 265 |
| 53 | 106, 309, 361, 17, 53 |
| 2, 309, 361, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 53 x 2 x 309 x 361 x 17 x 1 = 8040451920
Therefore, the lowest common multiple of 848,309,722,680,265 is 8040451920.
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.
848 x 309 x 722 x 680 x 265 = 34091516140800
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
309 : 1, 3, 103, 309
722 : 1, 2, 19, 38, 361, 722
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,309,722,680,265, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
309:3x 103
722:2x 19x 19
680:2x 2x 2x 5x 17
265:5x 53
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 5x 53 = 4240
Therefore, the value for common factors is 4240.
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 = 34091516140800/(1x4240)
LCM = 34091516140800/4240
LCM = 8040451920
Thus, we can understand that the LCM of 848,309,722,680,265 is 8040451920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 848, 309, 722, 680, 265
1. What is the LCM of 848, 309, 722, 680, 265?
Answer: LCM of 848, 309, 722, 680, 265 is 8040451920.
2. How to calculate the LCM of 848, 309, 722, 680, 265?
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 848, 309, 722, 680, 265.
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}.