LCM of 362, 862, 181, 315, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 862, 181, 315, 318 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 362, 862, 181, 315, 318. So, keep reading to learn more.
Given numbers are 362,862,181,315,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,862,181,315,318 is 2604787290.
Find LCM of 362,862,181,315,318 with Prime Factorization
| 2 | 362, 862, 181, 315, 318 |
| 3 | 181, 431, 181, 315, 159 |
| 181 | 181, 431, 181, 105, 53 |
| 1, 431, 1, 105, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 1 x 431 x 1 x 105 x 53 = 2604787290
Therefore, the lowest common multiple of 362,862,181,315,318 is 2604787290.
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.
362 x 862 x 181 x 315 x 318 = 5657597993880
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.
362 : 1, 2, 181, 362
862 : 1, 2, 431, 862
181 : 1, 181
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,862,181,315,318, is 1.
Now, the common factors can be found like this.
362:2x 181
862:2x 431
181:181
315:3x 3x 5x 7
318:2x 3x 53
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 3x 181 = 2172
Therefore, the value for common factors is 2172.
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 = 5657597993880/(1x2172)
LCM = 5657597993880/2172
LCM = 2604787290
Thus, we can understand that the LCM of 362,862,181,315,318 is 2604787290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 862, 181, 315, 318
1. What is the LCM of 362, 862, 181, 315, 318?
Answer: LCM of 362, 862, 181, 315, 318 is 2604787290.
2. How to calculate the LCM of 362, 862, 181, 315, 318?
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 362, 862, 181, 315, 318.
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}.