LCM of 920, 819, 706, 910, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 819, 706, 910, 353 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 920, 819, 706, 910, 353. So, keep reading to learn more.
Given numbers are 920,819,706,910,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,819,706,910,353 is 265978440.
Find LCM of 920,819,706,910,353 with Prime Factorization
| 2 | 920, 819, 706, 910, 353 |
| 5 | 460, 819, 353, 455, 353 |
| 7 | 92, 819, 353, 91, 353 |
| 13 | 92, 117, 353, 13, 353 |
| 353 | 92, 9, 353, 1, 353 |
| 92, 9, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 353 x 92 x 9 x 1 x 1 x 1 = 265978440
Therefore, the lowest common multiple of 920,819,706,910,353 is 265978440.
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.
920 x 819 x 706 x 910 x 353 = 170880508562400
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
706 : 1, 2, 353, 706
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,819,706,910,353, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
819:3x 3x 7x 13
706:2x 353
910:2x 5x 7x 13
353:353
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 5x 7x 13x 353 = 642460
Therefore, the value for common factors is 642460.
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 = 170880508562400/(1x642460)
LCM = 170880508562400/642460
LCM = 265978440
Thus, we can understand that the LCM of 920,819,706,910,353 is 265978440.
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FAQs on LCM of 920, 819, 706, 910, 353
1. What is the LCM of 920, 819, 706, 910, 353?
Answer: LCM of 920, 819, 706, 910, 353 is 265978440.
2. How to calculate the LCM of 920, 819, 706, 910, 353?
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 920, 819, 706, 910, 353.
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}.