LCM of 336, 896, 654, 108, 641
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 896, 654, 108, 641 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, 896, 654, 108, 641. So, keep reading to learn more.
Given numbers are 336,896,654,108,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,896,654,108,641 is 1690270848.
Find LCM of 336,896,654,108,641 with Prime Factorization
| 2 | 336, 896, 654, 108, 641 |
| 2 | 168, 448, 327, 54, 641 |
| 2 | 84, 224, 327, 27, 641 |
| 2 | 42, 112, 327, 27, 641 |
| 3 | 21, 56, 327, 27, 641 |
| 7 | 7, 56, 109, 9, 641 |
| 1, 8, 109, 9, 641 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 1 x 8 x 109 x 9 x 641 = 1690270848
Therefore, the lowest common multiple of 336,896,654,108,641 is 1690270848.
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 896 x 654 x 108 x 641 = 13630344118272
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
654 : 1, 2, 3, 6, 109, 218, 327, 654
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,896,654,108,641, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
896:2x 2x 2x 2x 2x 2x 2x 7
654:2x 3x 109
108:2x 2x 3x 3x 3
641:641
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 3x 3x 7 = 8064
Therefore, the value for common factors is 8064.
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 = 13630344118272/(1x8064)
LCM = 13630344118272/8064
LCM = 1690270848
Thus, we can understand that the LCM of 336,896,654,108,641 is 1690270848.
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FAQs on LCM of 336, 896, 654, 108, 641
1. What is the LCM of 336, 896, 654, 108, 641?
Answer: LCM of 336, 896, 654, 108, 641 is 1690270848.
2. How to calculate the LCM of 336, 896, 654, 108, 641?
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, 896, 654, 108, 641.
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}.