LCM of 222, 973, 196, 363, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 973, 196, 363, 399 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 222, 973, 196, 363, 399. So, keep reading to learn more.
Given numbers are 222,973,196,363,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,973,196,363,399 is 6952369116.
Find LCM of 222,973,196,363,399 with Prime Factorization
| 2 | 222, 973, 196, 363, 399 |
| 3 | 111, 973, 98, 363, 399 |
| 7 | 37, 973, 98, 121, 133 |
| 37, 139, 14, 121, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 37 x 139 x 14 x 121 x 19 = 6952369116
Therefore, the lowest common multiple of 222,973,196,363,399 is 6952369116.
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.
222 x 973 x 196 x 363 x 399 = 6131989560312
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
973 : 1, 7, 139, 973
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
363 : 1, 3, 11, 33, 121, 363
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,973,196,363,399, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
973:7x 139
196:2x 2x 7x 7
363:3x 11x 11
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 6131989560312/(1x882)
LCM = 6131989560312/882
LCM = 6952369116
Thus, we can understand that the LCM of 222,973,196,363,399 is 6952369116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 973, 196, 363, 399
1. What is the LCM of 222, 973, 196, 363, 399?
Answer: LCM of 222, 973, 196, 363, 399 is 6952369116.
2. How to calculate the LCM of 222, 973, 196, 363, 399?
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 222, 973, 196, 363, 399.
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}.