LCM of 818, 974, 374, 628, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 974, 374, 628, 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 818, 974, 374, 628, 671. So, keep reading to learn more.
Given numbers are 818,974,374,628,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,974,374,628,671 is 1426866542068.
Find LCM of 818,974,374,628,671 with Prime Factorization
| 2 | 818, 974, 374, 628, 671 |
| 11 | 409, 487, 187, 314, 671 |
| 409, 487, 17, 314, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 409 x 487 x 17 x 314 x 61 = 1426866542068
Therefore, the lowest common multiple of 818,974,374,628,671 is 1426866542068.
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.
818 x 974 x 374 x 628 x 671 = 125564255701984
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.
818 : 1, 2, 409, 818
974 : 1, 2, 487, 974
374 : 1, 2, 11, 17, 22, 34, 187, 374
628 : 1, 2, 4, 157, 314, 628
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,974,374,628,671, is 1.
Now, the common factors can be found like this.
818:2x 409
974:2x 487
374:2x 11x 17
628:2x 2x 157
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.
2x 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 125564255701984/(1x88)
LCM = 125564255701984/88
LCM = 1426866542068
Thus, we can understand that the LCM of 818,974,374,628,671 is 1426866542068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 818, 974, 374, 628, 671
1. What is the LCM of 818, 974, 374, 628, 671?
Answer: LCM of 818, 974, 374, 628, 671 is 1426866542068.
2. How to calculate the LCM of 818, 974, 374, 628, 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 818, 974, 374, 628, 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}.