LCM of 697, 189, 381, 308, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 189, 381, 308, 147 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 697, 189, 381, 308, 147. So, keep reading to learn more.
Given numbers are 697,189,381,308,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,189,381,308,147 is 5152868028.
Find LCM of 697,189,381,308,147 with Prime Factorization
| 3 | 697, 189, 381, 308, 147 |
| 7 | 697, 63, 127, 308, 49 |
| 697, 9, 127, 44, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 697 x 9 x 127 x 44 x 7 = 5152868028
Therefore, the lowest common multiple of 697,189,381,308,147 is 5152868028.
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.
697 x 189 x 381 x 308 x 147 = 2272414800348
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.
697 : 1, 17, 41, 697
189 : 1, 3, 7, 9, 21, 27, 63, 189
381 : 1, 3, 127, 381
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,189,381,308,147, is 1.
Now, the common factors can be found like this.
697:17x 41
189:3x 3x 3x 7
381:3x 127
308:2x 2x 7x 11
147:3x 7x 7
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 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 2272414800348/(1x441)
LCM = 2272414800348/441
LCM = 5152868028
Thus, we can understand that the LCM of 697,189,381,308,147 is 5152868028.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 189, 381, 308, 147
1. What is the LCM of 697, 189, 381, 308, 147?
Answer: LCM of 697, 189, 381, 308, 147 is 5152868028.
2. How to calculate the LCM of 697, 189, 381, 308, 147?
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 697, 189, 381, 308, 147.
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}.