LCM of 138, 247, 464, 658, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 247, 464, 658, 675 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 138, 247, 464, 658, 675. So, keep reading to learn more.
Given numbers are 138,247,464,658,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,247,464,658,675 is 585386146800.
Find LCM of 138,247,464,658,675 with Prime Factorization
| 2 | 138, 247, 464, 658, 675 |
| 3 | 69, 247, 232, 329, 675 |
| 23, 247, 232, 329, 225 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 247 x 232 x 329 x 225 = 585386146800
Therefore, the lowest common multiple of 138,247,464,658,675 is 585386146800.
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.
138 x 247 x 464 x 658 x 675 = 7024633761600
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
247 : 1, 13, 19, 247
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
658 : 1, 2, 7, 14, 47, 94, 329, 658
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,247,464,658,675, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
247:13x 19
464:2x 2x 2x 2x 29
658:2x 7x 47
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 7024633761600/(1x12)
LCM = 7024633761600/12
LCM = 585386146800
Thus, we can understand that the LCM of 138,247,464,658,675 is 585386146800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 247, 464, 658, 675
1. What is the LCM of 138, 247, 464, 658, 675?
Answer: LCM of 138, 247, 464, 658, 675 is 585386146800.
2. How to calculate the LCM of 138, 247, 464, 658, 675?
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 138, 247, 464, 658, 675.
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}.