LCM of 467, 501, 549, 625, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 501, 549, 625, 854 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, 501, 549, 625, 854. So, keep reading to learn more.
Given numbers are 467,501,549,625,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,501,549,625,854 is 374639658750.
Find LCM of 467,501,549,625,854 with Prime Factorization
| 3 | 467, 501, 549, 625, 854 |
| 61 | 467, 167, 183, 625, 854 |
| 467, 167, 3, 625, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 61 x 467 x 167 x 3 x 625 x 14 = 374639658750
Therefore, the lowest common multiple of 467,501,549,625,854 is 374639658750.
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 501 x 549 x 625 x 854 = 68559057551250
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
501 : 1, 3, 167, 501
549 : 1, 3, 9, 61, 183, 549
625 : 1, 5, 25, 125, 625
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,501,549,625,854, is 1.
Now, the common factors can be found like this.
467:467
501:3x 167
549:3x 3x 61
625:5x 5x 5x 5
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 61 = 183
Therefore, the value for common factors is 183.
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 = 68559057551250/(1x183)
LCM = 68559057551250/183
LCM = 374639658750
Thus, we can understand that the LCM of 467,501,549,625,854 is 374639658750.
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, 501, 549, 625, 854
1. What is the LCM of 467, 501, 549, 625, 854?
Answer: LCM of 467, 501, 549, 625, 854 is 374639658750.
2. How to calculate the LCM of 467, 501, 549, 625, 854?
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, 501, 549, 625, 854.
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}.