LCM of 832, 720, 817, 520, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 720, 817, 520, 313 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 832, 720, 817, 520, 313. So, keep reading to learn more.
Given numbers are 832,720,817,520,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,720,817,520,313 is 9574194240.
Find LCM of 832,720,817,520,313 with Prime Factorization
| 2 | 832, 720, 817, 520, 313 |
| 2 | 416, 360, 817, 260, 313 |
| 2 | 208, 180, 817, 130, 313 |
| 2 | 104, 90, 817, 65, 313 |
| 5 | 52, 45, 817, 65, 313 |
| 13 | 52, 9, 817, 13, 313 |
| 4, 9, 817, 1, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 4 x 9 x 817 x 1 x 313 = 9574194240
Therefore, the lowest common multiple of 832,720,817,520,313 is 9574194240.
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.
832 x 720 x 817 x 520 x 313 = 79657296076800
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
817 : 1, 19, 43, 817
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,720,817,520,313, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
720:2x 2x 2x 2x 3x 3x 5
817:19x 43
520:2x 2x 2x 5x 13
313:313
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 2x 2x 2x 5x 13 = 8320
Therefore, the value for common factors is 8320.
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 = 79657296076800/(1x8320)
LCM = 79657296076800/8320
LCM = 9574194240
Thus, we can understand that the LCM of 832,720,817,520,313 is 9574194240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 832, 720, 817, 520, 313
1. What is the LCM of 832, 720, 817, 520, 313?
Answer: LCM of 832, 720, 817, 520, 313 is 9574194240.
2. How to calculate the LCM of 832, 720, 817, 520, 313?
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 832, 720, 817, 520, 313.
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}.