Find the LCM of 724, 231, 280, 251, 119 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 724, 231, 280, 251, 119. So, keep reading to learn more.
Given numbers are 724,231,280,251,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,231,280,251,119 is 7136301480.
Find LCM of 724,231,280,251,119 with Prime Factorization
2 | 724, 231, 280, 251, 119 |
2 | 362, 231, 140, 251, 119 |
7 | 181, 231, 70, 251, 119 |
181, 33, 10, 251, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 181 x 33 x 10 x 251 x 17 = 7136301480
Therefore, the lowest common multiple of 724,231,280,251,119 is 7136301480.
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.
724 x 231 x 280 x 251 x 119 = 1398715090080
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.
724 : 1, 2, 4, 181, 362, 724
231 : 1, 3, 7, 11, 21, 33, 77, 231
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
251 : 1, 251
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,231,280,251,119, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
231:3x 7x 11
280:2x 2x 2x 5x 7
251:251
119:7x 17
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 1398715090080/(1x196)
LCM = 1398715090080/196
LCM = 7136301480
Thus, we can understand that the LCM of 724,231,280,251,119 is 7136301480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 231, 280, 251, 119?
Answer: LCM of 724, 231, 280, 251, 119 is 7136301480.
2. How to calculate the LCM of 724, 231, 280, 251, 119?
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 724, 231, 280, 251, 119.
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}.