LCM of 954, 387, 989, 975, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 387, 989, 975, 901 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 954, 387, 989, 975, 901. So, keep reading to learn more.
Given numbers are 954,387,989,975,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,387,989,975,901 is 5212870650.
Find LCM of 954,387,989,975,901 with Prime Factorization
| 3 | 954, 387, 989, 975, 901 |
| 3 | 318, 129, 989, 325, 901 |
| 43 | 106, 43, 989, 325, 901 |
| 53 | 106, 1, 23, 325, 901 |
| 2, 1, 23, 325, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 53 x 2 x 1 x 23 x 325 x 17 = 5212870650
Therefore, the lowest common multiple of 954,387,989,975,901 is 5212870650.
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.
954 x 387 x 989 x 975 x 901 = 320763569706450
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
387 : 1, 3, 9, 43, 129, 387
989 : 1, 23, 43, 989
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,387,989,975,901, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
387:3x 3x 43
989:23x 43
975:3x 5x 5x 13
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 43x 53 = 61533
Therefore, the value for common factors is 61533.
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 = 320763569706450/(1x61533)
LCM = 320763569706450/61533
LCM = 5212870650
Thus, we can understand that the LCM of 954,387,989,975,901 is 5212870650.
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FAQs on LCM of 954, 387, 989, 975, 901
1. What is the LCM of 954, 387, 989, 975, 901?
Answer: LCM of 954, 387, 989, 975, 901 is 5212870650.
2. How to calculate the LCM of 954, 387, 989, 975, 901?
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 954, 387, 989, 975, 901.
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}.