LCM of 238, 814, 568, 974, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 814, 568, 974, 960 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 238, 814, 568, 974, 960. So, keep reading to learn more.
Given numbers are 238,814,568,974,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,814,568,974,960 is 1607681127360.
Find LCM of 238,814,568,974,960 with Prime Factorization
| 2 | 238, 814, 568, 974, 960 |
| 2 | 119, 407, 284, 487, 480 |
| 2 | 119, 407, 142, 487, 240 |
| 119, 407, 71, 487, 120 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 119 x 407 x 71 x 487 x 120 = 1607681127360
Therefore, the lowest common multiple of 238,814,568,974,960 is 1607681127360.
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.
238 x 814 x 568 x 974 x 960 = 102891592151040
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
814 : 1, 2, 11, 22, 37, 74, 407, 814
568 : 1, 2, 4, 8, 71, 142, 284, 568
974 : 1, 2, 487, 974
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,814,568,974,960, is 2.
Now, the common factors can be found like this.
238:2x 7x 17
814:2x 11x 37
568:2x 2x 2x 71
974:2x 487
960:2x 2x 2x 2x 2x 2x 3x 5
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 2 = 32
Therefore, the value for common factors is 32.
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 = 102891592151040/(2x32)
LCM = 102891592151040/64
LCM = 1607681127360
Thus, we can understand that the LCM of 238,814,568,974,960 is 1607681127360.
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FAQs on LCM of 238, 814, 568, 974, 960
1. What is the LCM of 238, 814, 568, 974, 960?
Answer: LCM of 238, 814, 568, 974, 960 is 1607681127360.
2. How to calculate the LCM of 238, 814, 568, 974, 960?
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 238, 814, 568, 974, 960.
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}.