LCM of 467, 105, 550, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 105, 550, 627 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 467, 105, 550, 627. So, keep reading to learn more.
Given numbers are 467,105,550,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,105,550,627 is 102483150.
Find LCM of 467,105,550,627 with Prime Factorization
| 3 | 467, 105, 550, 627 |
| 5 | 467, 35, 550, 209 |
| 11 | 467, 7, 110, 209 |
| 467, 7, 10, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 467 x 7 x 10 x 19 = 102483150
Therefore, the lowest common multiple of 467,105,550,627 is 102483150.
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.
467 x 105 x 550 x 627 = 16909719750
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.
467 : 1, 467
105 : 1, 3, 5, 7, 15, 21, 35, 105
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,105,550,627, is 1.
Now, the common factors can be found like this.
467:467
105:3x 5x 7
550:2x 5x 5x 11
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 16909719750/(1x165)
LCM = 16909719750/165
LCM = 102483150
Thus, we can understand that the LCM of 467,105,550,627 is 102483150.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 467, 105, 550, 627
1. What is the LCM of 467, 105, 550, 627?
Answer: LCM of 467, 105, 550, 627 is 102483150.
2. How to calculate the LCM of 467, 105, 550, 627?
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 467, 105, 550, 627.
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}.