LCM of 251, 777, 100, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 777, 100, 296 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, 777, 100, 296. So, keep reading to learn more.
Given numbers are 251,777,100,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,777,100,296 is 39005400.
Find LCM of 251,777,100,296 with Prime Factorization
| 2 | 251, 777, 100, 296 |
| 2 | 251, 777, 50, 148 |
| 37 | 251, 777, 25, 74 |
| 251, 21, 25, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 251 x 21 x 25 x 2 = 39005400
Therefore, the lowest common multiple of 251,777,100,296 is 39005400.
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 777 x 100 x 296 = 5772799200
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
777 : 1, 3, 7, 21, 37, 111, 259, 777
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,777,100,296, is 1.
Now, the common factors can be found like this.
251:251
777:3x 7x 37
100:2x 2x 5x 5
296:2x 2x 2x 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 2x 37 = 148
Therefore, the value for common factors is 148.
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 = 5772799200/(1x148)
LCM = 5772799200/148
LCM = 39005400
Thus, we can understand that the LCM of 251,777,100,296 is 39005400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 777, 100, 296
1. What is the LCM of 251, 777, 100, 296?
Answer: LCM of 251, 777, 100, 296 is 39005400.
2. How to calculate the LCM of 251, 777, 100, 296?
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, 777, 100, 296.
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}.