LCM of 982, 783, 126, 823, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 783, 126, 823, 750 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 982, 783, 126, 823, 750. So, keep reading to learn more.
Given numbers are 982,783,126,823,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,783,126,823,750 is 553708433250.
Find LCM of 982,783,126,823,750 with Prime Factorization
| 2 | 982, 783, 126, 823, 750 |
| 3 | 491, 783, 63, 823, 375 |
| 3 | 491, 261, 21, 823, 125 |
| 491, 87, 7, 823, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 491 x 87 x 7 x 823 x 125 = 553708433250
Therefore, the lowest common multiple of 982,783,126,823,750 is 553708433250.
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.
982 x 783 x 126 x 823 x 750 = 59800510791000
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.
982 : 1, 2, 491, 982
783 : 1, 3, 9, 27, 29, 87, 261, 783
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
823 : 1, 823
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,783,126,823,750, is 1.
Now, the common factors can be found like this.
982:2x 491
783:3x 3x 3x 29
126:2x 3x 3x 7
823:823
750:2x 3x 5x 5x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 59800510791000/(1x108)
LCM = 59800510791000/108
LCM = 553708433250
Thus, we can understand that the LCM of 982,783,126,823,750 is 553708433250.
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FAQs on LCM of 982, 783, 126, 823, 750
1. What is the LCM of 982, 783, 126, 823, 750?
Answer: LCM of 982, 783, 126, 823, 750 is 553708433250.
2. How to calculate the LCM of 982, 783, 126, 823, 750?
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 982, 783, 126, 823, 750.
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}.