LCM of 247, 795, 741, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 795, 741, 671 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 247, 795, 741, 671. So, keep reading to learn more.
Given numbers are 247,795,741,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,795,741,671 is 131760915.
Find LCM of 247,795,741,671 with Prime Factorization
| 3 | 247, 795, 741, 671 |
| 13 | 247, 265, 247, 671 |
| 19 | 19, 265, 19, 671 |
| 1, 265, 1, 671 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 1 x 265 x 1 x 671 = 131760915
Therefore, the lowest common multiple of 247,795,741,671 is 131760915.
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.
247 x 795 x 741 x 671 = 97634838015
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.
247 : 1, 13, 19, 247
795 : 1, 3, 5, 15, 53, 159, 265, 795
741 : 1, 3, 13, 19, 39, 57, 247, 741
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,795,741,671, is 1.
Now, the common factors can be found like this.
247:13x 19
795:3x 5x 53
741:3x 13x 19
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19 = 741
Therefore, the value for common factors is 741.
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 = 97634838015/(1x741)
LCM = 97634838015/741
LCM = 131760915
Thus, we can understand that the LCM of 247,795,741,671 is 131760915.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 795, 741, 671
1. What is the LCM of 247, 795, 741, 671?
Answer: LCM of 247, 795, 741, 671 is 131760915.
2. How to calculate the LCM of 247, 795, 741, 671?
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 247, 795, 741, 671.
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}.