Find the LCM of 188, 775, 744, 720, 476 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 188, 775, 744, 720, 476. So, keep reading to learn more.
Given numbers are 188,775,744,720,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,775,744,720,476 is 624178800.
Find LCM of 188,775,744,720,476 with Prime Factorization
2 | 188, 775, 744, 720, 476 |
2 | 94, 775, 372, 360, 238 |
2 | 47, 775, 186, 180, 119 |
3 | 47, 775, 93, 90, 119 |
5 | 47, 775, 31, 30, 119 |
31 | 47, 155, 31, 6, 119 |
47, 5, 1, 6, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 47 x 5 x 1 x 6 x 119 = 624178800
Therefore, the lowest common multiple of 188,775,744,720,476 is 624178800.
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.
188 x 775 x 744 x 720 x 476 = 37151122176000
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.
188 : 1, 2, 4, 47, 94, 188
775 : 1, 5, 25, 31, 155, 775
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,775,744,720,476, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
775:5x 5x 31
744:2x 2x 2x 3x 31
720:2x 2x 2x 2x 3x 3x 5
476:2x 2x 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 2x 2x 2x 2x 2x 3x 5x 31 = 59520
Therefore, the value for common factors is 59520.
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 = 37151122176000/(1x59520)
LCM = 37151122176000/59520
LCM = 624178800
Thus, we can understand that the LCM of 188,775,744,720,476 is 624178800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 188, 775, 744, 720, 476?
Answer: LCM of 188, 775, 744, 720, 476 is 624178800.
2. How to calculate the LCM of 188, 775, 744, 720, 476?
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 188, 775, 744, 720, 476.
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}.