LCM of 671, 990, 451, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 990, 451, 968 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, 990, 451, 968. So, keep reading to learn more.
Given numbers are 671,990,451,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,990,451,968 is 108943560.
Find LCM of 671,990,451,968 with Prime Factorization
| 2 | 671, 990, 451, 968 |
| 11 | 671, 495, 451, 484 |
| 61, 45, 41, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 45 x 41 x 44 = 108943560
Therefore, the lowest common multiple of 671,990,451,968 is 108943560.
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 990 x 451 x 968 = 290007756720
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
451 : 1, 11, 41, 451
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,990,451,968, is 11.
Now, the common factors can be found like this.
671:11x 61
990:2x 3x 3x 5x 11
451:11x 41
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 290007756720/(11x242)
LCM = 290007756720/2662
LCM = 108943560
Thus, we can understand that the LCM of 671,990,451,968 is 108943560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 990, 451, 968
1. What is the LCM of 671, 990, 451, 968?
Answer: LCM of 671, 990, 451, 968 is 108943560.
2. How to calculate the LCM of 671, 990, 451, 968?
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, 990, 451, 968.
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}.