LCM of 677, 140, 741, 247, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 140, 741, 247, 164 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 677, 140, 741, 247, 164. So, keep reading to learn more.
Given numbers are 677,140,741,247,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,140,741,247,164 is 2879511180.
Find LCM of 677,140,741,247,164 with Prime Factorization
| 2 | 677, 140, 741, 247, 164 |
| 2 | 677, 70, 741, 247, 82 |
| 13 | 677, 35, 741, 247, 41 |
| 19 | 677, 35, 57, 19, 41 |
| 677, 35, 3, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 677 x 35 x 3 x 1 x 41 = 2879511180
Therefore, the lowest common multiple of 677,140,741,247,164 is 2879511180.
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.
677 x 140 x 741 x 247 x 164 = 2844957045840
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.
677 : 1, 677
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
741 : 1, 3, 13, 19, 39, 57, 247, 741
247 : 1, 13, 19, 247
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,140,741,247,164, is 1.
Now, the common factors can be found like this.
677:677
140:2x 2x 5x 7
741:3x 13x 19
247:13x 19
164:2x 2x 41
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 2844957045840/(1x988)
LCM = 2844957045840/988
LCM = 2879511180
Thus, we can understand that the LCM of 677,140,741,247,164 is 2879511180.
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FAQs on LCM of 677, 140, 741, 247, 164
1. What is the LCM of 677, 140, 741, 247, 164?
Answer: LCM of 677, 140, 741, 247, 164 is 2879511180.
2. How to calculate the LCM of 677, 140, 741, 247, 164?
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 677, 140, 741, 247, 164.
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}.