LCM of 451, 893, 629, 377, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 893, 629, 377, 957 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 451, 893, 629, 377, 957. So, keep reading to learn more.
Given numbers are 451,893,629,377,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,893,629,377,957 is 286510967457.
Find LCM of 451,893,629,377,957 with Prime Factorization
| 11 | 451, 893, 629, 377, 957 |
| 29 | 41, 893, 629, 377, 87 |
| 41, 893, 629, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 41 x 893 x 629 x 13 x 3 = 286510967457
Therefore, the lowest common multiple of 451,893,629,377,957 is 286510967457.
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.
451 x 893 x 629 x 377 x 957 = 91396998618783
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.
451 : 1, 11, 41, 451
893 : 1, 19, 47, 893
629 : 1, 17, 37, 629
377 : 1, 13, 29, 377
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,893,629,377,957, is 1.
Now, the common factors can be found like this.
451:11x 41
893:19x 47
629:17x 37
377:13x 29
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 91396998618783/(1x319)
LCM = 91396998618783/319
LCM = 286510967457
Thus, we can understand that the LCM of 451,893,629,377,957 is 286510967457.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 893, 629, 377, 957
1. What is the LCM of 451, 893, 629, 377, 957?
Answer: LCM of 451, 893, 629, 377, 957 is 286510967457.
2. How to calculate the LCM of 451, 893, 629, 377, 957?
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 451, 893, 629, 377, 957.
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}.