Find the LCM of 374, 666, 960, 578, 676 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 374, 666, 960, 578, 676. So, keep reading to learn more.
Given numbers are 374,666,960,578,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,666,960,578,676 is 57249466560.
Find LCM of 374,666,960,578,676 with Prime Factorization
2 | 374, 666, 960, 578, 676 |
2 | 187, 333, 480, 289, 338 |
3 | 187, 333, 240, 289, 169 |
17 | 187, 111, 80, 289, 169 |
11, 111, 80, 17, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 11 x 111 x 80 x 17 x 169 = 57249466560
Therefore, the lowest common multiple of 374,666,960,578,676 is 57249466560.
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.
374 x 666 x 960 x 578 x 676 = 93431129425920
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
578 : 1, 2, 17, 34, 289, 578
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,666,960,578,676, is 2.
Now, the common factors can be found like this.
374:2x 11x 17
666:2x 3x 3x 37
960:2x 2x 2x 2x 2x 2x 3x 5
578:2x 17x 17
676:2x 2x 13x 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 2x 2x 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 93431129425920/(2x816)
LCM = 93431129425920/1632
LCM = 57249466560
Thus, we can understand that the LCM of 374,666,960,578,676 is 57249466560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 666, 960, 578, 676?
Answer: LCM of 374, 666, 960, 578, 676 is 57249466560.
2. How to calculate the LCM of 374, 666, 960, 578, 676?
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 374, 666, 960, 578, 676.
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}.