Find the LCM of 500, 654, 188, 749, 278 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 500, 654, 188, 749, 278. So, keep reading to learn more.
Given numbers are 500,654,188,749,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 500,654,188,749,278 is 800040979500.
Find LCM of 500,654,188,749,278 with Prime Factorization
2 | 500, 654, 188, 749, 278 |
2 | 250, 327, 94, 749, 139 |
125, 327, 47, 749, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 125 x 327 x 47 x 749 x 139 = 800040979500
Therefore, the lowest common multiple of 500,654,188,749,278 is 800040979500.
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.
500 x 654 x 188 x 749 x 278 = 12800655672000
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.
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
654 : 1, 2, 3, 6, 109, 218, 327, 654
188 : 1, 2, 4, 47, 94, 188
749 : 1, 7, 107, 749
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,654,188,749,278, is 1.
Now, the common factors can be found like this.
500:2x 2x 5x 5x 5
654:2x 3x 109
188:2x 2x 47
749:7x 107
278:2x 139
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 2 = 16
Therefore, the value for common factors is 16.
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 = 12800655672000/(1x16)
LCM = 12800655672000/16
LCM = 800040979500
Thus, we can understand that the LCM of 500,654,188,749,278 is 800040979500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 500, 654, 188, 749, 278?
Answer: LCM of 500, 654, 188, 749, 278 is 800040979500.
2. How to calculate the LCM of 500, 654, 188, 749, 278?
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 500, 654, 188, 749, 278.
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}.