LCM of 980, 964, 954, 723, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 964, 954, 723, 387 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 980, 964, 954, 723, 387. So, keep reading to learn more.
Given numbers are 980,964,954,723,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,964,954,723,387 is 4844287980.
Find LCM of 980,964,954,723,387 with Prime Factorization
| 2 | 980, 964, 954, 723, 387 |
| 2 | 490, 482, 477, 723, 387 |
| 3 | 245, 241, 477, 723, 387 |
| 3 | 245, 241, 159, 241, 129 |
| 241 | 245, 241, 53, 241, 43 |
| 245, 1, 53, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 241 x 245 x 1 x 53 x 1 x 43 = 4844287980
Therefore, the lowest common multiple of 980,964,954,723,387 is 4844287980.
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.
980 x 964 x 954 x 723 x 387 = 252174255086880
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
964 : 1, 2, 4, 241, 482, 964
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
723 : 1, 3, 241, 723
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,964,954,723,387, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
964:2x 2x 241
954:2x 3x 3x 53
723:3x 241
387:3x 3x 43
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 3x 3x 3x 241 = 52056
Therefore, the value for common factors is 52056.
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 = 252174255086880/(1x52056)
LCM = 252174255086880/52056
LCM = 4844287980
Thus, we can understand that the LCM of 980,964,954,723,387 is 4844287980.
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FAQs on LCM of 980, 964, 954, 723, 387
1. What is the LCM of 980, 964, 954, 723, 387?
Answer: LCM of 980, 964, 954, 723, 387 is 4844287980.
2. How to calculate the LCM of 980, 964, 954, 723, 387?
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 980, 964, 954, 723, 387.
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}.