LCM of 455, 371, 376, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 371, 376, 964 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 455, 371, 376, 964. So, keep reading to learn more.
Given numbers are 455,371,376,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,371,376,964 is 2185204840.
Find LCM of 455,371,376,964 with Prime Factorization
| 2 | 455, 371, 376, 964 |
| 2 | 455, 371, 188, 482 |
| 7 | 455, 371, 94, 241 |
| 65, 53, 94, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 65 x 53 x 94 x 241 = 2185204840
Therefore, the lowest common multiple of 455,371,376,964 is 2185204840.
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.
455 x 371 x 376 x 964 = 61185735520
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
371 : 1, 7, 53, 371
376 : 1, 2, 4, 8, 47, 94, 188, 376
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,371,376,964, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
371:7x 53
376:2x 2x 2x 47
964:2x 2x 241
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 7 = 28
Therefore, the value for common factors is 28.
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 = 61185735520/(1x28)
LCM = 61185735520/28
LCM = 2185204840
Thus, we can understand that the LCM of 455,371,376,964 is 2185204840.
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FAQs on LCM of 455, 371, 376, 964
1. What is the LCM of 455, 371, 376, 964?
Answer: LCM of 455, 371, 376, 964 is 2185204840.
2. How to calculate the LCM of 455, 371, 376, 964?
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 455, 371, 376, 964.
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}.