LCM of 661, 793, 262, 686, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 793, 262, 686, 189 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 661, 793, 262, 686, 189. So, keep reading to learn more.
Given numbers are 661,793,262,686,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,793,262,686,189 is 1271843932086.
Find LCM of 661,793,262,686,189 with Prime Factorization
| 2 | 661, 793, 262, 686, 189 |
| 7 | 661, 793, 131, 343, 189 |
| 661, 793, 131, 49, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 661 x 793 x 131 x 49 x 27 = 1271843932086
Therefore, the lowest common multiple of 661,793,262,686,189 is 1271843932086.
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.
661 x 793 x 262 x 686 x 189 = 17805815049204
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.
661 : 1, 661
793 : 1, 13, 61, 793
262 : 1, 2, 131, 262
686 : 1, 2, 7, 14, 49, 98, 343, 686
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,793,262,686,189, is 1.
Now, the common factors can be found like this.
661:661
793:13x 61
262:2x 131
686:2x 7x 7x 7
189:3x 3x 3x 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 7 = 14
Therefore, the value for common factors is 14.
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 = 17805815049204/(1x14)
LCM = 17805815049204/14
LCM = 1271843932086
Thus, we can understand that the LCM of 661,793,262,686,189 is 1271843932086.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 661, 793, 262, 686, 189
1. What is the LCM of 661, 793, 262, 686, 189?
Answer: LCM of 661, 793, 262, 686, 189 is 1271843932086.
2. How to calculate the LCM of 661, 793, 262, 686, 189?
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 661, 793, 262, 686, 189.
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}.