LCM of 251, 874, 382, 955, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 874, 382, 955, 629 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 251, 874, 382, 955, 629. So, keep reading to learn more.
Given numbers are 251,874,382,955,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,874,382,955,629 is 131776864930.
Find LCM of 251,874,382,955,629 with Prime Factorization
| 2 | 251, 874, 382, 955, 629 |
| 191 | 251, 437, 191, 955, 629 |
| 251, 437, 1, 5, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 191 x 251 x 437 x 1 x 5 x 629 = 131776864930
Therefore, the lowest common multiple of 251,874,382,955,629 is 131776864930.
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.
251 x 874 x 382 x 955 x 629 = 50338762403260
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.
251 : 1, 251
874 : 1, 2, 19, 23, 38, 46, 437, 874
382 : 1, 2, 191, 382
955 : 1, 5, 191, 955
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,874,382,955,629, is 1.
Now, the common factors can be found like this.
251:251
874:2x 19x 23
382:2x 191
955:5x 191
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 191 = 382
Therefore, the value for common factors is 382.
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 = 50338762403260/(1x382)
LCM = 50338762403260/382
LCM = 131776864930
Thus, we can understand that the LCM of 251,874,382,955,629 is 131776864930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 874, 382, 955, 629
1. What is the LCM of 251, 874, 382, 955, 629?
Answer: LCM of 251, 874, 382, 955, 629 is 131776864930.
2. How to calculate the LCM of 251, 874, 382, 955, 629?
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 251, 874, 382, 955, 629.
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}.