LCM of 355, 833, 242, 308, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 833, 242, 308, 644 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 355, 833, 242, 308, 644. So, keep reading to learn more.
Given numbers are 355,833,242,308,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,833,242,308,644 is 3291899380.
Find LCM of 355,833,242,308,644 with Prime Factorization
| 2 | 355, 833, 242, 308, 644 |
| 2 | 355, 833, 121, 154, 322 |
| 7 | 355, 833, 121, 77, 161 |
| 11 | 355, 119, 121, 11, 23 |
| 355, 119, 1, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 355 x 119 x 1 x 11 x 23 = 3291899380
Therefore, the lowest common multiple of 355,833,242,308,644 is 3291899380.
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.
355 x 833 x 242 x 308 x 644 = 14194670126560
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.
355 : 1, 5, 71, 355
833 : 1, 7, 17, 49, 119, 833
242 : 1, 2, 11, 22, 121, 242
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,833,242,308,644, is 1.
Now, the common factors can be found like this.
355:5x 71
833:7x 7x 17
242:2x 11x 11
308:2x 2x 7x 11
644:2x 2x 7x 23
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 7x 7x 11 = 4312
Therefore, the value for common factors is 4312.
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 = 14194670126560/(1x4312)
LCM = 14194670126560/4312
LCM = 3291899380
Thus, we can understand that the LCM of 355,833,242,308,644 is 3291899380.
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FAQs on LCM of 355, 833, 242, 308, 644
1. What is the LCM of 355, 833, 242, 308, 644?
Answer: LCM of 355, 833, 242, 308, 644 is 3291899380.
2. How to calculate the LCM of 355, 833, 242, 308, 644?
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 355, 833, 242, 308, 644.
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}.