LCM of 825, 924, 590, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 924, 590, 781 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 825, 924, 590, 781. So, keep reading to learn more.
Given numbers are 825,924,590,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,924,590,781 is 96765900.
Find LCM of 825,924,590,781 with Prime Factorization
| 2 | 825, 924, 590, 781 |
| 3 | 825, 462, 295, 781 |
| 5 | 275, 154, 295, 781 |
| 11 | 55, 154, 59, 781 |
| 5, 14, 59, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 5 x 14 x 59 x 71 = 96765900
Therefore, the lowest common multiple of 825,924,590,781 is 96765900.
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.
825 x 924 x 590 x 781 = 351260217000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
590 : 1, 2, 5, 10, 59, 118, 295, 590
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,924,590,781, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
924:2x 2x 3x 7x 11
590:2x 5x 59
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 11 = 3630
Therefore, the value for common factors is 3630.
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 = 351260217000/(1x3630)
LCM = 351260217000/3630
LCM = 96765900
Thus, we can understand that the LCM of 825,924,590,781 is 96765900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 924, 590, 781
1. What is the LCM of 825, 924, 590, 781?
Answer: LCM of 825, 924, 590, 781 is 96765900.
2. How to calculate the LCM of 825, 924, 590, 781?
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 825, 924, 590, 781.
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}.