Find the LCM of 187, 889, 600, 762, 354 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 187, 889, 600, 762, 354. So, keep reading to learn more.
Given numbers are 187,889,600,762,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,889,600,762,354 is 5885002200.
Find LCM of 187,889,600,762,354 with Prime Factorization
2 | 187, 889, 600, 762, 354 |
3 | 187, 889, 300, 381, 177 |
127 | 187, 889, 100, 127, 59 |
187, 7, 100, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 187 x 7 x 100 x 1 x 59 = 5885002200
Therefore, the lowest common multiple of 187,889,600,762,354 is 5885002200.
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.
187 x 889 x 600 x 762 x 354 = 26906230058400
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.
187 : 1, 11, 17, 187
889 : 1, 7, 127, 889
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
762 : 1, 2, 3, 6, 127, 254, 381, 762
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,889,600,762,354, is 1.
Now, the common factors can be found like this.
187:11x 17
889:7x 127
600:2x 2x 2x 3x 5x 5
762:2x 3x 127
354:2x 3x 59
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 3x 3x 127 = 4572
Therefore, the value for common factors is 4572.
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 = 26906230058400/(1x4572)
LCM = 26906230058400/4572
LCM = 5885002200
Thus, we can understand that the LCM of 187,889,600,762,354 is 5885002200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 889, 600, 762, 354?
Answer: LCM of 187, 889, 600, 762, 354 is 5885002200.
2. How to calculate the LCM of 187, 889, 600, 762, 354?
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 187, 889, 600, 762, 354.
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}.