LCM of 526, 182, 832, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 182, 832, 945 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, 182, 832, 945. So, keep reading to learn more.
Given numbers are 526,182,832,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,182,832,945 is 206781120.
Find LCM of 526,182,832,945 with Prime Factorization
| 2 | 526, 182, 832, 945 |
| 7 | 263, 91, 416, 945 |
| 13 | 263, 13, 416, 135 |
| 263, 1, 32, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 263 x 1 x 32 x 135 = 206781120
Therefore, the lowest common multiple of 526,182,832,945 is 206781120.
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 182 x 832 x 945 = 75268327680
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
182 : 1, 2, 7, 13, 14, 26, 91, 182
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,182,832,945, is 1.
Now, the common factors can be found like this.
526:2x 263
182:2x 7x 13
832:2x 2x 2x 2x 2x 2x 13
945:3x 3x 3x 5x 7
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 75268327680/(1x364)
LCM = 75268327680/364
LCM = 206781120
Thus, we can understand that the LCM of 526,182,832,945 is 206781120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 526, 182, 832, 945
1. What is the LCM of 526, 182, 832, 945?
Answer: LCM of 526, 182, 832, 945 is 206781120.
2. How to calculate the LCM of 526, 182, 832, 945?
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, 182, 832, 945.
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}.