LCM of 557, 588, 341, 969, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 588, 341, 969, 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 557, 588, 341, 969, 671. So, keep reading to learn more.
Given numbers are 557,588,341,969,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,588,341,969,671 is 2200489282068.
Find LCM of 557,588,341,969,671 with Prime Factorization
| 3 | 557, 588, 341, 969, 671 |
| 11 | 557, 196, 341, 323, 671 |
| 557, 196, 31, 323, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 557 x 196 x 31 x 323 x 61 = 2200489282068
Therefore, the lowest common multiple of 557,588,341,969,671 is 2200489282068.
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.
557 x 588 x 341 x 969 x 671 = 72616146308244
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.
557 : 1, 557
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
341 : 1, 11, 31, 341
969 : 1, 3, 17, 19, 51, 57, 323, 969
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,588,341,969,671, is 1.
Now, the common factors can be found like this.
557:557
588:2x 2x 3x 7x 7
341:11x 31
969:3x 17x 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 11 = 33
Therefore, the value for common factors is 33.
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 = 72616146308244/(1x33)
LCM = 72616146308244/33
LCM = 2200489282068
Thus, we can understand that the LCM of 557,588,341,969,671 is 2200489282068.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 557, 588, 341, 969, 671
1. What is the LCM of 557, 588, 341, 969, 671?
Answer: LCM of 557, 588, 341, 969, 671 is 2200489282068.
2. How to calculate the LCM of 557, 588, 341, 969, 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 557, 588, 341, 969, 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}.