LCM of 365, 832, 690, 760, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 832, 690, 760, 635 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 365, 832, 690, 760, 635. So, keep reading to learn more.
Given numbers are 365,832,690,760,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,832,690,760,635 is 50561808960.
Find LCM of 365,832,690,760,635 with Prime Factorization
| 2 | 365, 832, 690, 760, 635 |
| 2 | 365, 416, 345, 380, 635 |
| 2 | 365, 208, 345, 190, 635 |
| 5 | 365, 104, 345, 95, 635 |
| 73, 104, 69, 19, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 73 x 104 x 69 x 19 x 127 = 50561808960
Therefore, the lowest common multiple of 365,832,690,760,635 is 50561808960.
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.
365 x 832 x 690 x 760 x 635 = 101123617920000
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.
365 : 1, 5, 73, 365
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,832,690,760,635, is 1.
Now, the common factors can be found like this.
365:5x 73
832:2x 2x 2x 2x 2x 2x 13
690:2x 3x 5x 23
760:2x 2x 2x 5x 19
635:5x 127
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 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 101123617920000/(1x2000)
LCM = 101123617920000/2000
LCM = 50561808960
Thus, we can understand that the LCM of 365,832,690,760,635 is 50561808960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 365, 832, 690, 760, 635
1. What is the LCM of 365, 832, 690, 760, 635?
Answer: LCM of 365, 832, 690, 760, 635 is 50561808960.
2. How to calculate the LCM of 365, 832, 690, 760, 635?
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 365, 832, 690, 760, 635.
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}.