Find the LCM of 194, 820, 840, 226, 980 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 194, 820, 840, 226, 980. So, keep reading to learn more.
Given numbers are 194,820,840,226,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,820,840,226,980 is 2642477880.
Find LCM of 194,820,840,226,980 with Prime Factorization
2 | 194, 820, 840, 226, 980 |
2 | 97, 410, 420, 113, 490 |
5 | 97, 205, 210, 113, 245 |
7 | 97, 41, 42, 113, 49 |
97, 41, 6, 113, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 97 x 41 x 6 x 113 x 7 = 2642477880
Therefore, the lowest common multiple of 194,820,840,226,980 is 2642477880.
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.
194 x 820 x 840 x 226 x 980 = 29595752256000
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.
194 : 1, 2, 97, 194
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
226 : 1, 2, 113, 226
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,820,840,226,980, is 2.
Now, the common factors can be found like this.
194:2x 97
820:2x 2x 5x 41
840:2x 2x 2x 3x 5x 7
226:2x 113
980:2x 2x 5x 7x 7
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 5x 5x 7 = 5600
Therefore, the value for common factors is 5600.
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 = 29595752256000/(2x5600)
LCM = 29595752256000/11200
LCM = 2642477880
Thus, we can understand that the LCM of 194,820,840,226,980 is 2642477880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 194, 820, 840, 226, 980?
Answer: LCM of 194, 820, 840, 226, 980 is 2642477880.
2. How to calculate the LCM of 194, 820, 840, 226, 980?
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 194, 820, 840, 226, 980.
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}.