LCM of 929, 833, 744, 753, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 833, 744, 753, 920 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 929, 833, 744, 753, 920. So, keep reading to learn more.
Given numbers are 929,833,744,753,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,833,744,753,920 is 16619012434920.
Find LCM of 929,833,744,753,920 with Prime Factorization
| 2 | 929, 833, 744, 753, 920 |
| 2 | 929, 833, 372, 753, 460 |
| 2 | 929, 833, 186, 753, 230 |
| 3 | 929, 833, 93, 753, 115 |
| 929, 833, 31, 251, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 929 x 833 x 31 x 251 x 115 = 16619012434920
Therefore, the lowest common multiple of 929,833,744,753,920 is 16619012434920.
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.
929 x 833 x 744 x 753 x 920 = 398856298438080
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.
929 : 1, 929
833 : 1, 7, 17, 49, 119, 833
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
753 : 1, 3, 251, 753
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,833,744,753,920, is 1.
Now, the common factors can be found like this.
929:929
833:7x 7x 17
744:2x 2x 2x 3x 31
753:3x 251
920:2x 2x 2x 5x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 398856298438080/(1x24)
LCM = 398856298438080/24
LCM = 16619012434920
Thus, we can understand that the LCM of 929,833,744,753,920 is 16619012434920.
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FAQs on LCM of 929, 833, 744, 753, 920
1. What is the LCM of 929, 833, 744, 753, 920?
Answer: LCM of 929, 833, 744, 753, 920 is 16619012434920.
2. How to calculate the LCM of 929, 833, 744, 753, 920?
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 929, 833, 744, 753, 920.
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}.