LCM of 983, 628, 372, 909, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 628, 372, 909, 552 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 983, 628, 372, 909, 552. So, keep reading to learn more.
Given numbers are 983,628,372,909,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,628,372,909,552 is 800196357816.
Find LCM of 983,628,372,909,552 with Prime Factorization
| 2 | 983, 628, 372, 909, 552 |
| 2 | 983, 314, 186, 909, 276 |
| 3 | 983, 157, 93, 909, 138 |
| 983, 157, 31, 303, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 983 x 157 x 31 x 303 x 46 = 800196357816
Therefore, the lowest common multiple of 983,628,372,909,552 is 800196357816.
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.
983 x 628 x 372 x 909 x 552 = 115228275525504
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.
983 : 1, 983
628 : 1, 2, 4, 157, 314, 628
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
909 : 1, 3, 9, 101, 303, 909
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,628,372,909,552, is 1.
Now, the common factors can be found like this.
983:983
628:2x 2x 157
372:2x 2x 3x 31
909:3x 3x 101
552:2x 2x 2x 3x 23
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 3 = 144
Therefore, the value for common factors is 144.
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 = 115228275525504/(1x144)
LCM = 115228275525504/144
LCM = 800196357816
Thus, we can understand that the LCM of 983,628,372,909,552 is 800196357816.
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FAQs on LCM of 983, 628, 372, 909, 552
1. What is the LCM of 983, 628, 372, 909, 552?
Answer: LCM of 983, 628, 372, 909, 552 is 800196357816.
2. How to calculate the LCM of 983, 628, 372, 909, 552?
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 983, 628, 372, 909, 552.
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}.