LCM of 251, 391, 678, 851, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 391, 678, 851, 444 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, 391, 678, 851, 444. So, keep reading to learn more.
Given numbers are 251,391,678,851,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,391,678,851,444 is 4923930252.
Find LCM of 251,391,678,851,444 with Prime Factorization
| 2 | 251, 391, 678, 851, 444 |
| 3 | 251, 391, 339, 851, 222 |
| 23 | 251, 391, 113, 851, 74 |
| 37 | 251, 17, 113, 37, 74 |
| 251, 17, 113, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 37 x 251 x 17 x 113 x 1 x 2 = 4923930252
Therefore, the lowest common multiple of 251,391,678,851,444 is 4923930252.
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 391 x 678 x 851 x 444 = 25141587866712
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
391 : 1, 17, 23, 391
678 : 1, 2, 3, 6, 113, 226, 339, 678
851 : 1, 23, 37, 851
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,391,678,851,444, is 1.
Now, the common factors can be found like this.
251:251
391:17x 23
678:2x 3x 113
851:23x 37
444:2x 2x 3x 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 3x 23x 37 = 5106
Therefore, the value for common factors is 5106.
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 = 25141587866712/(1x5106)
LCM = 25141587866712/5106
LCM = 4923930252
Thus, we can understand that the LCM of 251,391,678,851,444 is 4923930252.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 251, 391, 678, 851, 444
1. What is the LCM of 251, 391, 678, 851, 444?
Answer: LCM of 251, 391, 678, 851, 444 is 4923930252.
2. How to calculate the LCM of 251, 391, 678, 851, 444?
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, 391, 678, 851, 444.
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}.