LCM of 476, 833, 293, 765, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 833, 293, 765, 696 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 476, 833, 293, 765, 696. So, keep reading to learn more.
Given numbers are 476,833,293,765,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,833,293,765,696 is 2548080360.
Find LCM of 476,833,293,765,696 with Prime Factorization
| 2 | 476, 833, 293, 765, 696 |
| 2 | 238, 833, 293, 765, 348 |
| 3 | 119, 833, 293, 765, 174 |
| 7 | 119, 833, 293, 255, 58 |
| 17 | 17, 119, 293, 255, 58 |
| 1, 7, 293, 15, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 1 x 7 x 293 x 15 x 58 = 2548080360
Therefore, the lowest common multiple of 476,833,293,765,696 is 2548080360.
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.
476 x 833 x 293 x 765 x 696 = 61857198819360
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
833 : 1, 7, 17, 49, 119, 833
293 : 1, 293
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,833,293,765,696, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
833:7x 7x 17
293:293
765:3x 3x 5x 17
696:2x 2x 2x 3x 29
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 7x 17x 17 = 24276
Therefore, the value for common factors is 24276.
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 = 61857198819360/(1x24276)
LCM = 61857198819360/24276
LCM = 2548080360
Thus, we can understand that the LCM of 476,833,293,765,696 is 2548080360.
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FAQs on LCM of 476, 833, 293, 765, 696
1. What is the LCM of 476, 833, 293, 765, 696?
Answer: LCM of 476, 833, 293, 765, 696 is 2548080360.
2. How to calculate the LCM of 476, 833, 293, 765, 696?
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 476, 833, 293, 765, 696.
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}.