Find the LCM of 374, 444, 650, 990, 859 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 374, 444, 650, 990, 859. So, keep reading to learn more.
Given numbers are 374,444,650,990,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,444,650,990,859 is 69538025700.
Find LCM of 374,444,650,990,859 with Prime Factorization
2 | 374, 444, 650, 990, 859 |
3 | 187, 222, 325, 495, 859 |
5 | 187, 74, 325, 165, 859 |
11 | 187, 74, 65, 33, 859 |
17, 74, 65, 3, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 74 x 65 x 3 x 859 = 69538025700
Therefore, the lowest common multiple of 374,444,650,990,859 is 69538025700.
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.
374 x 444 x 650 x 990 x 859 = 91790193924000
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,444,650,990,859, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
444:2x 2x 3x 37
650:2x 5x 5x 13
990:2x 3x 3x 5x 11
859:859
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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 91790193924000/(1x1320)
LCM = 91790193924000/1320
LCM = 69538025700
Thus, we can understand that the LCM of 374,444,650,990,859 is 69538025700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 444, 650, 990, 859?
Answer: LCM of 374, 444, 650, 990, 859 is 69538025700.
2. How to calculate the LCM of 374, 444, 650, 990, 859?
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 374, 444, 650, 990, 859.
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}.