Find the LCM of 190, 188, 680, 423, 691 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 190, 188, 680, 423, 691. So, keep reading to learn more.
Given numbers are 190,188,680,423,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,188,680,423,691 is 3776425560.
Find LCM of 190,188,680,423,691 with Prime Factorization
2 | 190, 188, 680, 423, 691 |
2 | 95, 94, 340, 423, 691 |
5 | 95, 47, 170, 423, 691 |
47 | 19, 47, 34, 423, 691 |
19, 1, 34, 9, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 19 x 1 x 34 x 9 x 691 = 3776425560
Therefore, the lowest common multiple of 190,188,680,423,691 is 3776425560.
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.
190 x 188 x 680 x 423 x 691 = 7099680052800
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
188 : 1, 2, 4, 47, 94, 188
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
423 : 1, 3, 9, 47, 141, 423
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,188,680,423,691, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
188:2x 2x 47
680:2x 2x 2x 5x 17
423:3x 3x 47
691:691
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 5x 47 = 1880
Therefore, the value for common factors is 1880.
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 = 7099680052800/(1x1880)
LCM = 7099680052800/1880
LCM = 3776425560
Thus, we can understand that the LCM of 190,188,680,423,691 is 3776425560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 190, 188, 680, 423, 691?
Answer: LCM of 190, 188, 680, 423, 691 is 3776425560.
2. How to calculate the LCM of 190, 188, 680, 423, 691?
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 190, 188, 680, 423, 691.
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}.