LCM of 655, 957, 986, 336, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 957, 986, 336, 229 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 655, 957, 986, 336, 229. So, keep reading to learn more.
Given numbers are 655,957,986,336,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,957,986,336,229 is 273310089360.
Find LCM of 655,957,986,336,229 with Prime Factorization
| 2 | 655, 957, 986, 336, 229 |
| 3 | 655, 957, 493, 168, 229 |
| 29 | 655, 319, 493, 56, 229 |
| 655, 11, 17, 56, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 655 x 11 x 17 x 56 x 229 = 273310089360
Therefore, the lowest common multiple of 655,957,986,336,229 is 273310089360.
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.
655 x 957 x 986 x 336 x 229 = 47555955548640
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.
655 : 1, 5, 131, 655
957 : 1, 3, 11, 29, 33, 87, 319, 957
986 : 1, 2, 17, 29, 34, 58, 493, 986
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,957,986,336,229, is 1.
Now, the common factors can be found like this.
655:5x 131
957:3x 11x 29
986:2x 17x 29
336:2x 2x 2x 2x 3x 7
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 47555955548640/(1x174)
LCM = 47555955548640/174
LCM = 273310089360
Thus, we can understand that the LCM of 655,957,986,336,229 is 273310089360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 957, 986, 336, 229
1. What is the LCM of 655, 957, 986, 336, 229?
Answer: LCM of 655, 957, 986, 336, 229 is 273310089360.
2. How to calculate the LCM of 655, 957, 986, 336, 229?
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 655, 957, 986, 336, 229.
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}.