LCM of 945, 310, 516, 372, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 310, 516, 372, 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 945, 310, 516, 372, 229. So, keep reading to learn more.
Given numbers are 945,310,516,372,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,310,516,372,229 is 1153871460.
Find LCM of 945,310,516,372,229 with Prime Factorization
| 2 | 945, 310, 516, 372, 229 |
| 2 | 945, 155, 258, 186, 229 |
| 3 | 945, 155, 129, 93, 229 |
| 5 | 315, 155, 43, 31, 229 |
| 31 | 63, 31, 43, 31, 229 |
| 63, 1, 43, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 63 x 1 x 43 x 1 x 229 = 1153871460
Therefore, the lowest common multiple of 945,310,516,372,229 is 1153871460.
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.
945 x 310 x 516 x 372 x 229 = 12877205493600
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
310 : 1, 2, 5, 10, 31, 62, 155, 310
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,310,516,372,229, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
310:2x 5x 31
516:2x 2x 3x 43
372:2x 2x 3x 31
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 2x 2x 3x 3x 5x 31 = 11160
Therefore, the value for common factors is 11160.
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 = 12877205493600/(1x11160)
LCM = 12877205493600/11160
LCM = 1153871460
Thus, we can understand that the LCM of 945,310,516,372,229 is 1153871460.
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FAQs on LCM of 945, 310, 516, 372, 229
1. What is the LCM of 945, 310, 516, 372, 229?
Answer: LCM of 945, 310, 516, 372, 229 is 1153871460.
2. How to calculate the LCM of 945, 310, 516, 372, 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 945, 310, 516, 372, 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}.