LCM of 361, 306, 655, 760, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 306, 655, 760, 824 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 361, 306, 655, 760, 824. So, keep reading to learn more.
Given numbers are 361,306,655,760,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,306,655,760,824 is 29810354760.
Find LCM of 361,306,655,760,824 with Prime Factorization
| 2 | 361, 306, 655, 760, 824 |
| 2 | 361, 153, 655, 380, 412 |
| 2 | 361, 153, 655, 190, 206 |
| 5 | 361, 153, 655, 95, 103 |
| 19 | 361, 153, 131, 19, 103 |
| 1, 153, 131, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 1 x 153 x 131 x 19 x 103 = 29810354760
Therefore, the lowest common multiple of 361,306,655,760,824 is 29810354760.
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.
361 x 306 x 655 x 760 x 824 = 45311739235200
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.
361 : 1, 19, 361
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
655 : 1, 5, 131, 655
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,306,655,760,824, is 1.
Now, the common factors can be found like this.
361:19x 19
306:2x 3x 3x 17
655:5x 131
760:2x 2x 2x 5x 19
824:2x 2x 2x 103
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 19 = 1520
Therefore, the value for common factors is 1520.
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 = 45311739235200/(1x1520)
LCM = 45311739235200/1520
LCM = 29810354760
Thus, we can understand that the LCM of 361,306,655,760,824 is 29810354760.
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FAQs on LCM of 361, 306, 655, 760, 824
1. What is the LCM of 361, 306, 655, 760, 824?
Answer: LCM of 361, 306, 655, 760, 824 is 29810354760.
2. How to calculate the LCM of 361, 306, 655, 760, 824?
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 361, 306, 655, 760, 824.
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}.