LCM of 225, 427, 411, 274, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 427, 411, 274, 657 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 225, 427, 411, 274, 657. So, keep reading to learn more.
Given numbers are 225,427,411,274,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,427,411,274,657 is 1921692150.
Find LCM of 225,427,411,274,657 with Prime Factorization
| 3 | 225, 427, 411, 274, 657 |
| 3 | 75, 427, 137, 274, 219 |
| 137 | 25, 427, 137, 274, 73 |
| 25, 427, 1, 2, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 137 x 25 x 427 x 1 x 2 x 73 = 1921692150
Therefore, the lowest common multiple of 225,427,411,274,657 is 1921692150.
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.
225 x 427 x 411 x 274 x 657 = 7108339262850
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
427 : 1, 7, 61, 427
411 : 1, 3, 137, 411
274 : 1, 2, 137, 274
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,427,411,274,657, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
427:7x 61
411:3x 137
274:2x 137
657:3x 3x 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 3x 137 = 3699
Therefore, the value for common factors is 3699.
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 = 7108339262850/(1x3699)
LCM = 7108339262850/3699
LCM = 1921692150
Thus, we can understand that the LCM of 225,427,411,274,657 is 1921692150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 427, 411, 274, 657
1. What is the LCM of 225, 427, 411, 274, 657?
Answer: LCM of 225, 427, 411, 274, 657 is 1921692150.
2. How to calculate the LCM of 225, 427, 411, 274, 657?
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 225, 427, 411, 274, 657.
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}.