LCM of 671, 538, 370, 945, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 538, 370, 945, 553 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 671, 538, 370, 945, 553. So, keep reading to learn more.
Given numbers are 671,538,370,945,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,538,370,945,553 is 997161310530.
Find LCM of 671,538,370,945,553 with Prime Factorization
| 2 | 671, 538, 370, 945, 553 |
| 5 | 671, 269, 185, 945, 553 |
| 7 | 671, 269, 37, 189, 553 |
| 671, 269, 37, 27, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 671 x 269 x 37 x 27 x 79 = 997161310530
Therefore, the lowest common multiple of 671,538,370,945,553 is 997161310530.
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.
671 x 538 x 370 x 945 x 553 = 69801291737100
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.
671 : 1, 11, 61, 671
538 : 1, 2, 269, 538
370 : 1, 2, 5, 10, 37, 74, 185, 370
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,538,370,945,553, is 1.
Now, the common factors can be found like this.
671:11x 61
538:2x 269
370:2x 5x 37
945:3x 3x 3x 5x 7
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 69801291737100/(1x70)
LCM = 69801291737100/70
LCM = 997161310530
Thus, we can understand that the LCM of 671,538,370,945,553 is 997161310530.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 671, 538, 370, 945, 553
1. What is the LCM of 671, 538, 370, 945, 553?
Answer: LCM of 671, 538, 370, 945, 553 is 997161310530.
2. How to calculate the LCM of 671, 538, 370, 945, 553?
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 671, 538, 370, 945, 553.
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}.