LCM of 331, 657, 225, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 657, 225, 949 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 331, 657, 225, 949. So, keep reading to learn more.
Given numbers are 331,657,225,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,657,225,949 is 70676775.
Find LCM of 331,657,225,949 with Prime Factorization
| 3 | 331, 657, 225, 949 |
| 3 | 331, 219, 75, 949 |
| 73 | 331, 73, 25, 949 |
| 331, 1, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 73 x 331 x 1 x 25 x 13 = 70676775
Therefore, the lowest common multiple of 331,657,225,949 is 70676775.
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.
331 x 657 x 225 x 949 = 46434641175
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.
331 : 1, 331
657 : 1, 3, 9, 73, 219, 657
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,657,225,949, is 1.
Now, the common factors can be found like this.
331:331
657:3x 3x 73
225:3x 3x 5x 5
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 73 = 657
Therefore, the value for common factors is 657.
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 = 46434641175/(1x657)
LCM = 46434641175/657
LCM = 70676775
Thus, we can understand that the LCM of 331,657,225,949 is 70676775.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 331, 657, 225, 949
1. What is the LCM of 331, 657, 225, 949?
Answer: LCM of 331, 657, 225, 949 is 70676775.
2. How to calculate the LCM of 331, 657, 225, 949?
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 331, 657, 225, 949.
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}.