LCM of 265, 916, 716, 542, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 916, 716, 542, 417 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 265, 916, 716, 542, 417. So, keep reading to learn more.
Given numbers are 265,916,716,542,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,916,716,542,417 is 4910206133220.
Find LCM of 265,916,716,542,417 with Prime Factorization
| 2 | 265, 916, 716, 542, 417 |
| 2 | 265, 458, 358, 271, 417 |
| 265, 229, 179, 271, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 265 x 229 x 179 x 271 x 417 = 4910206133220
Therefore, the lowest common multiple of 265,916,716,542,417 is 4910206133220.
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.
265 x 916 x 716 x 542 x 417 = 39281649065760
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.
265 : 1, 5, 53, 265
916 : 1, 2, 4, 229, 458, 916
716 : 1, 2, 4, 179, 358, 716
542 : 1, 2, 271, 542
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,916,716,542,417, is 1.
Now, the common factors can be found like this.
265:5x 53
916:2x 2x 229
716:2x 2x 179
542:2x 271
417:3x 139
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 2 = 8
Therefore, the value for common factors is 8.
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 = 39281649065760/(1x8)
LCM = 39281649065760/8
LCM = 4910206133220
Thus, we can understand that the LCM of 265,916,716,542,417 is 4910206133220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 265, 916, 716, 542, 417
1. What is the LCM of 265, 916, 716, 542, 417?
Answer: LCM of 265, 916, 716, 542, 417 is 4910206133220.
2. How to calculate the LCM of 265, 916, 716, 542, 417?
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 265, 916, 716, 542, 417.
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}.