LCM of 510, 615, 393, 171, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 615, 393, 171, 661 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 510, 615, 393, 171, 661. So, keep reading to learn more.
Given numbers are 510,615,393,171,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,615,393,171,661 is 103205215170.
Find LCM of 510,615,393,171,661 with Prime Factorization
| 3 | 510, 615, 393, 171, 661 |
| 5 | 170, 205, 131, 57, 661 |
| 34, 41, 131, 57, 661 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 34 x 41 x 131 x 57 x 661 = 103205215170
Therefore, the lowest common multiple of 510,615,393,171,661 is 103205215170.
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.
510 x 615 x 393 x 171 x 661 = 13932704047950
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
615 : 1, 3, 5, 15, 41, 123, 205, 615
393 : 1, 3, 131, 393
171 : 1, 3, 9, 19, 57, 171
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,615,393,171,661, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
615:3x 5x 41
393:3x 131
171:3x 3x 19
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 13932704047950/(1x135)
LCM = 13932704047950/135
LCM = 103205215170
Thus, we can understand that the LCM of 510,615,393,171,661 is 103205215170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 510, 615, 393, 171, 661
1. What is the LCM of 510, 615, 393, 171, 661?
Answer: LCM of 510, 615, 393, 171, 661 is 103205215170.
2. How to calculate the LCM of 510, 615, 393, 171, 661?
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 510, 615, 393, 171, 661.
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}.