LCM of 336, 833, 845, 475, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 833, 845, 475, 928 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 336, 833, 845, 475, 928. So, keep reading to learn more.
Given numbers are 336,833,845,475,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,833,845,475,928 is 186163504800.
Find LCM of 336,833,845,475,928 with Prime Factorization
| 2 | 336, 833, 845, 475, 928 |
| 2 | 168, 833, 845, 475, 464 |
| 2 | 84, 833, 845, 475, 232 |
| 2 | 42, 833, 845, 475, 116 |
| 5 | 21, 833, 845, 475, 58 |
| 7 | 21, 833, 169, 95, 58 |
| 3, 119, 169, 95, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 3 x 119 x 169 x 95 x 58 = 186163504800
Therefore, the lowest common multiple of 336,833,845,475,928 is 186163504800.
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.
336 x 833 x 845 x 475 x 928 = 104251562688000
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
833 : 1, 7, 17, 49, 119, 833
845 : 1, 5, 13, 65, 169, 845
475 : 1, 5, 19, 25, 95, 475
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,833,845,475,928, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
833:7x 7x 17
845:5x 13x 13
475:5x 5x 19
928:2x 2x 2x 2x 2x 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 2x 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 104251562688000/(1x560)
LCM = 104251562688000/560
LCM = 186163504800
Thus, we can understand that the LCM of 336,833,845,475,928 is 186163504800.
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FAQs on LCM of 336, 833, 845, 475, 928
1. What is the LCM of 336, 833, 845, 475, 928?
Answer: LCM of 336, 833, 845, 475, 928 is 186163504800.
2. How to calculate the LCM of 336, 833, 845, 475, 928?
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 336, 833, 845, 475, 928.
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}.