LCM of 615, 391, 256, 340, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 391, 256, 340, 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 615, 391, 256, 340, 318. So, keep reading to learn more.
Given numbers are 615,391,256,340,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,391,256,340,318 is 3262629120.
Find LCM of 615,391,256,340,318 with Prime Factorization
| 2 | 615, 391, 256, 340, 318 |
| 2 | 615, 391, 128, 170, 159 |
| 3 | 615, 391, 64, 85, 159 |
| 5 | 205, 391, 64, 85, 53 |
| 17 | 41, 391, 64, 17, 53 |
| 41, 23, 64, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 41 x 23 x 64 x 1 x 53 = 3262629120
Therefore, the lowest common multiple of 615,391,256,340,318 is 3262629120.
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.
615 x 391 x 256 x 340 x 318 = 6655763404800
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
391 : 1, 17, 23, 391
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 615,391,256,340,318, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
391:17x 23
256:2x 2x 2x 2x 2x 2x 2x 2
340:2x 2x 5x 17
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 2x 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 6655763404800/(1x2040)
LCM = 6655763404800/2040
LCM = 3262629120
Thus, we can understand that the LCM of 615,391,256,340,318 is 3262629120.
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FAQs on LCM of 615, 391, 256, 340, 318
1. What is the LCM of 615, 391, 256, 340, 318?
Answer: LCM of 615, 391, 256, 340, 318 is 3262629120.
2. How to calculate the LCM of 615, 391, 256, 340, 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 615, 391, 256, 340, 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}.