LCM of 391, 225, 283, 189, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 225, 283, 189, 968 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 391, 225, 283, 189, 968. So, keep reading to learn more.
Given numbers are 391,225,283,189,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,225,283,189,968 is 506104691400.
Find LCM of 391,225,283,189,968 with Prime Factorization
| 3 | 391, 225, 283, 189, 968 |
| 3 | 391, 75, 283, 63, 968 |
| 391, 25, 283, 21, 968 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 391 x 25 x 283 x 21 x 968 = 506104691400
Therefore, the lowest common multiple of 391,225,283,189,968 is 506104691400.
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.
391 x 225 x 283 x 189 x 968 = 4554942222600
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.
391 : 1, 17, 23, 391
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
283 : 1, 283
189 : 1, 3, 7, 9, 21, 27, 63, 189
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,225,283,189,968, is 1.
Now, the common factors can be found like this.
391:17x 23
225:3x 3x 5x 5
283:283
189:3x 3x 3x 7
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 4554942222600/(1x9)
LCM = 4554942222600/9
LCM = 506104691400
Thus, we can understand that the LCM of 391,225,283,189,968 is 506104691400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 225, 283, 189, 968
1. What is the LCM of 391, 225, 283, 189, 968?
Answer: LCM of 391, 225, 283, 189, 968 is 506104691400.
2. How to calculate the LCM of 391, 225, 283, 189, 968?
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 391, 225, 283, 189, 968.
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}.