LCM of 526, 263, 455, 785, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 263, 455, 785, 486 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 526, 263, 455, 785, 486. So, keep reading to learn more.
Given numbers are 526,263,455,785,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,263,455,785,486 is 9130678830.
Find LCM of 526,263,455,785,486 with Prime Factorization
| 2 | 526, 263, 455, 785, 486 |
| 5 | 263, 263, 455, 785, 243 |
| 263 | 263, 263, 91, 157, 243 |
| 1, 1, 91, 157, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 263 x 1 x 1 x 91 x 157 x 243 = 9130678830
Therefore, the lowest common multiple of 526,263,455,785,486 is 9130678830.
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.
526 x 263 x 455 x 785 x 486 = 24013685322900
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.
526 : 1, 2, 263, 526
263 : 1, 263
455 : 1, 5, 7, 13, 35, 65, 91, 455
785 : 1, 5, 157, 785
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,263,455,785,486, is 1.
Now, the common factors can be found like this.
526:2x 263
263:263
455:5x 7x 13
785:5x 157
486:2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 263 = 2630
Therefore, the value for common factors is 2630.
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 = 24013685322900/(1x2630)
LCM = 24013685322900/2630
LCM = 9130678830
Thus, we can understand that the LCM of 526,263,455,785,486 is 9130678830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 526, 263, 455, 785, 486
1. What is the LCM of 526, 263, 455, 785, 486?
Answer: LCM of 526, 263, 455, 785, 486 is 9130678830.
2. How to calculate the LCM of 526, 263, 455, 785, 486?
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 526, 263, 455, 785, 486.
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}.