LCM of 355, 620, 284, 310, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 620, 284, 310, 362 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, 620, 284, 310, 362. So, keep reading to learn more.
Given numbers are 355,620,284,310,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,620,284,310,362 is 7967620.
Find LCM of 355,620,284,310,362 with Prime Factorization
| 2 | 355, 620, 284, 310, 362 |
| 2 | 355, 310, 142, 155, 181 |
| 5 | 355, 155, 71, 155, 181 |
| 31 | 71, 31, 71, 31, 181 |
| 71 | 71, 1, 71, 1, 181 |
| 1, 1, 1, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 71 x 1 x 1 x 1 x 1 x 181 = 7967620
Therefore, the lowest common multiple of 355,620,284,310,362 is 7967620.
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 620 x 284 x 310 x 362 = 7014692648000
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
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
284 : 1, 2, 4, 71, 142, 284
310 : 1, 2, 5, 10, 31, 62, 155, 310
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,620,284,310,362, is 1.
Now, the common factors can be found like this.
355:5x 71
620:2x 2x 5x 31
284:2x 2x 71
310:2x 5x 31
362:2x 181
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 5x 31x 71 = 880400
Therefore, the value for common factors is 880400.
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 = 7014692648000/(1x880400)
LCM = 7014692648000/880400
LCM = 7967620
Thus, we can understand that the LCM of 355,620,284,310,362 is 7967620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 355, 620, 284, 310, 362
1. What is the LCM of 355, 620, 284, 310, 362?
Answer: LCM of 355, 620, 284, 310, 362 is 7967620.
2. How to calculate the LCM of 355, 620, 284, 310, 362?
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, 620, 284, 310, 362.
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}.