LCM of 382, 770, 583, 176, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 770, 583, 176, 308 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 382, 770, 583, 176, 308. So, keep reading to learn more.
Given numbers are 382,770,583,176,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,770,583,176,308 is 62357680.
Find LCM of 382,770,583,176,308 with Prime Factorization
| 2 | 382, 770, 583, 176, 308 |
| 2 | 191, 385, 583, 88, 154 |
| 7 | 191, 385, 583, 44, 77 |
| 11 | 191, 55, 583, 44, 11 |
| 191, 5, 53, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 191 x 5 x 53 x 4 x 1 = 62357680
Therefore, the lowest common multiple of 382,770,583,176,308 is 62357680.
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.
382 x 770 x 583 x 176 x 308 = 9295784072960
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.
382 : 1, 2, 191, 382
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
583 : 1, 11, 53, 583
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,770,583,176,308, is 1.
Now, the common factors can be found like this.
382:2x 191
770:2x 5x 7x 11
583:11x 53
176:2x 2x 2x 2x 11
308:2x 2x 7x 11
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 7x 11x 11x 11 = 149072
Therefore, the value for common factors is 149072.
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 = 9295784072960/(1x149072)
LCM = 9295784072960/149072
LCM = 62357680
Thus, we can understand that the LCM of 382,770,583,176,308 is 62357680.
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FAQs on LCM of 382, 770, 583, 176, 308
1. What is the LCM of 382, 770, 583, 176, 308?
Answer: LCM of 382, 770, 583, 176, 308 is 62357680.
2. How to calculate the LCM of 382, 770, 583, 176, 308?
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 382, 770, 583, 176, 308.
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}.