Find the LCM of 288, 350, 759, 681 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 288, 350, 759, 681. So, keep reading to learn more.
Given numbers are 288,350,759,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,350,759,681 is 2894522400.
Find LCM of 288,350,759,681 with Prime Factorization
2 | 288, 350, 759, 681 |
3 | 144, 175, 759, 681 |
48, 175, 253, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 48 x 175 x 253 x 227 = 2894522400
Therefore, the lowest common multiple of 288,350,759,681 is 2894522400.
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.
288 x 350 x 759 x 681 = 52101403200
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
759 : 1, 3, 11, 23, 33, 69, 253, 759
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,350,759,681, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
350:2x 5x 5x 7
759:3x 11x 23
681:3x 227
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 3 = 18
Therefore, the value for common factors is 18.
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 = 52101403200/(1x18)
LCM = 52101403200/18
LCM = 2894522400
Thus, we can understand that the LCM of 288,350,759,681 is 2894522400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 350, 759, 681?
Answer: LCM of 288, 350, 759, 681 is 2894522400.
2. How to calculate the LCM of 288, 350, 759, 681?
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 288, 350, 759, 681.
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}.