LCM of 385, 414, 874, 960, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 414, 874, 960, 980 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 385, 414, 874, 960, 980. So, keep reading to learn more.
Given numbers are 385,414,874,960,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,414,874,960,980 is 678363840.
Find LCM of 385,414,874,960,980 with Prime Factorization
| 2 | 385, 414, 874, 960, 980 |
| 2 | 385, 207, 437, 480, 490 |
| 3 | 385, 207, 437, 240, 245 |
| 5 | 385, 69, 437, 80, 245 |
| 7 | 77, 69, 437, 16, 49 |
| 23 | 11, 69, 437, 16, 7 |
| 11, 3, 19, 16, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 11 x 3 x 19 x 16 x 7 = 678363840
Therefore, the lowest common multiple of 385,414,874,960,980 is 678363840.
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.
385 x 414 x 874 x 960 x 980 = 131059893888000
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
874 : 1, 2, 19, 23, 38, 46, 437, 874
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,414,874,960,980, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
414:2x 3x 3x 23
874:2x 19x 23
960:2x 2x 2x 2x 2x 2x 3x 5
980:2x 2x 5x 7x 7
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 5x 5x 7x 23 = 193200
Therefore, the value for common factors is 193200.
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 = 131059893888000/(1x193200)
LCM = 131059893888000/193200
LCM = 678363840
Thus, we can understand that the LCM of 385,414,874,960,980 is 678363840.
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FAQs on LCM of 385, 414, 874, 960, 980
1. What is the LCM of 385, 414, 874, 960, 980?
Answer: LCM of 385, 414, 874, 960, 980 is 678363840.
2. How to calculate the LCM of 385, 414, 874, 960, 980?
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 385, 414, 874, 960, 980.
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}.