LCM of 671, 252, 338, 894, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 252, 338, 894, 325 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, 252, 338, 894, 325. So, keep reading to learn more.
Given numbers are 671,252,338,894,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,252,338,894,325 is 106447641300.
Find LCM of 671,252,338,894,325 with Prime Factorization
| 2 | 671, 252, 338, 894, 325 |
| 3 | 671, 126, 169, 447, 325 |
| 13 | 671, 42, 169, 149, 325 |
| 671, 42, 13, 149, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 671 x 42 x 13 x 149 x 25 = 106447641300
Therefore, the lowest common multiple of 671,252,338,894,325 is 106447641300.
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 252 x 338 x 894 x 325 = 16605832042800
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
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
338 : 1, 2, 13, 26, 169, 338
894 : 1, 2, 3, 6, 149, 298, 447, 894
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,252,338,894,325, is 1.
Now, the common factors can be found like this.
671:11x 61
252:2x 2x 3x 3x 7
338:2x 13x 13
894:2x 3x 149
325:5x 5x 13
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 16605832042800/(1x156)
LCM = 16605832042800/156
LCM = 106447641300
Thus, we can understand that the LCM of 671,252,338,894,325 is 106447641300.
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FAQs on LCM of 671, 252, 338, 894, 325
1. What is the LCM of 671, 252, 338, 894, 325?
Answer: LCM of 671, 252, 338, 894, 325 is 106447641300.
2. How to calculate the LCM of 671, 252, 338, 894, 325?
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, 252, 338, 894, 325.
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}.