LCM of 364, 151, 897, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 151, 897, 604 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 364, 151, 897, 604. So, keep reading to learn more.
Given numbers are 364,151,897,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,151,897,604 is 3792516.
Find LCM of 364,151,897,604 with Prime Factorization
| 2 | 364, 151, 897, 604 |
| 2 | 182, 151, 897, 302 |
| 13 | 91, 151, 897, 151 |
| 151 | 7, 151, 69, 151 |
| 7, 1, 69, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 151 x 7 x 1 x 69 x 1 = 3792516
Therefore, the lowest common multiple of 364,151,897,604 is 3792516.
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.
364 x 151 x 897 x 604 = 29778835632
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
151 : 1, 151
897 : 1, 3, 13, 23, 39, 69, 299, 897
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,151,897,604, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
151:151
897:3x 13x 23
604:2x 2x 151
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 13x 151 = 7852
Therefore, the value for common factors is 7852.
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 = 29778835632/(1x7852)
LCM = 29778835632/7852
LCM = 3792516
Thus, we can understand that the LCM of 364,151,897,604 is 3792516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 364, 151, 897, 604
1. What is the LCM of 364, 151, 897, 604?
Answer: LCM of 364, 151, 897, 604 is 3792516.
2. How to calculate the LCM of 364, 151, 897, 604?
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 364, 151, 897, 604.
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}.