LCM of 188, 109, 861, 714, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 109, 861, 714, 446 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 188, 109, 861, 714, 446. So, keep reading to learn more.
Given numbers are 188,109,861,714,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,109,861,714,446 is 66886933092.
Find LCM of 188,109,861,714,446 with Prime Factorization
| 2 | 188, 109, 861, 714, 446 |
| 3 | 94, 109, 861, 357, 223 |
| 7 | 94, 109, 287, 119, 223 |
| 94, 109, 41, 17, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 94 x 109 x 41 x 17 x 223 = 66886933092
Therefore, the lowest common multiple of 188,109,861,714,446 is 66886933092.
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.
188 x 109 x 861 x 714 x 446 = 5618502379728
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.
188 : 1, 2, 4, 47, 94, 188
109 : 1, 109
861 : 1, 3, 7, 21, 41, 123, 287, 861
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,109,861,714,446, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
109:109
861:3x 7x 41
714:2x 3x 7x 17
446:2x 223
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 5618502379728/(1x84)
LCM = 5618502379728/84
LCM = 66886933092
Thus, we can understand that the LCM of 188,109,861,714,446 is 66886933092.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 188, 109, 861, 714, 446
1. What is the LCM of 188, 109, 861, 714, 446?
Answer: LCM of 188, 109, 861, 714, 446 is 66886933092.
2. How to calculate the LCM of 188, 109, 861, 714, 446?
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 188, 109, 861, 714, 446.
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}.