LCM of 387, 191, 456, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 191, 456, 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 387, 191, 456, 657. So, keep reading to learn more.
Given numbers are 387,191,456,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,191,456,657 is 820183032.
Find LCM of 387,191,456,657 with Prime Factorization
| 3 | 387, 191, 456, 657 |
| 3 | 129, 191, 152, 219 |
| 43, 191, 152, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 191 x 152 x 73 = 820183032
Therefore, the lowest common multiple of 387,191,456,657 is 820183032.
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.
387 x 191 x 456 x 657 = 22144941864
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.
387 : 1, 3, 9, 43, 129, 387
191 : 1, 191
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 387,191,456,657, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
191:191
456:2x 2x 2x 3x 19
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 3 = 27
Therefore, the value for common factors is 27.
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 = 22144941864/(1x27)
LCM = 22144941864/27
LCM = 820183032
Thus, we can understand that the LCM of 387,191,456,657 is 820183032.
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FAQs on LCM of 387, 191, 456, 657
1. What is the LCM of 387, 191, 456, 657?
Answer: LCM of 387, 191, 456, 657 is 820183032.
2. How to calculate the LCM of 387, 191, 456, 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 387, 191, 456, 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}.