LCM of 906, 436, 189, 764, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 436, 189, 764, 452 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 906, 436, 189, 764, 452. So, keep reading to learn more.
Given numbers are 906,436,189,764,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,436,189,764,452 is 268557355332.
Find LCM of 906,436,189,764,452 with Prime Factorization
| 2 | 906, 436, 189, 764, 452 |
| 2 | 453, 218, 189, 382, 226 |
| 3 | 453, 109, 189, 191, 113 |
| 151, 109, 63, 191, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 109 x 63 x 191 x 113 = 268557355332
Therefore, the lowest common multiple of 906,436,189,764,452 is 268557355332.
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.
906 x 436 x 189 x 764 x 452 = 25781506111872
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
436 : 1, 2, 4, 109, 218, 436
189 : 1, 3, 7, 9, 21, 27, 63, 189
764 : 1, 2, 4, 191, 382, 764
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,436,189,764,452, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
436:2x 2x 109
189:3x 3x 3x 7
764:2x 2x 191
452:2x 2x 113
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 25781506111872/(1x96)
LCM = 25781506111872/96
LCM = 268557355332
Thus, we can understand that the LCM of 906,436,189,764,452 is 268557355332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 436, 189, 764, 452
1. What is the LCM of 906, 436, 189, 764, 452?
Answer: LCM of 906, 436, 189, 764, 452 is 268557355332.
2. How to calculate the LCM of 906, 436, 189, 764, 452?
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 906, 436, 189, 764, 452.
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}.