LCM of 397, 175, 671, 836, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 175, 671, 836, 649 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 397, 175, 671, 836, 649. So, keep reading to learn more.
Given numbers are 397,175,671,836,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,175,671,836,649 is 209033878900.
Find LCM of 397,175,671,836,649 with Prime Factorization
| 11 | 397, 175, 671, 836, 649 |
| 397, 175, 61, 76, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 397 x 175 x 61 x 76 x 59 = 209033878900
Therefore, the lowest common multiple of 397,175,671,836,649 is 209033878900.
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.
397 x 175 x 671 x 836 x 649 = 25293099346900
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.
397 : 1, 397
175 : 1, 5, 7, 25, 35, 175
671 : 1, 11, 61, 671
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,175,671,836,649, is 1.
Now, the common factors can be found like this.
397:397
175:5x 5x 7
671:11x 61
836:2x 2x 11x 19
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 25293099346900/(1x121)
LCM = 25293099346900/121
LCM = 209033878900
Thus, we can understand that the LCM of 397,175,671,836,649 is 209033878900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 175, 671, 836, 649
1. What is the LCM of 397, 175, 671, 836, 649?
Answer: LCM of 397, 175, 671, 836, 649 is 209033878900.
2. How to calculate the LCM of 397, 175, 671, 836, 649?
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 397, 175, 671, 836, 649.
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}.