LCM of 157, 153, 516, 515, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 153, 516, 515, 315 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 157, 153, 516, 515, 315. So, keep reading to learn more.
Given numbers are 157,153,516,515,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,153,516,515,315 is 14894461260.
Find LCM of 157,153,516,515,315 with Prime Factorization
| 3 | 157, 153, 516, 515, 315 |
| 3 | 157, 51, 172, 515, 105 |
| 5 | 157, 17, 172, 515, 35 |
| 157, 17, 172, 103, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 157 x 17 x 172 x 103 x 7 = 14894461260
Therefore, the lowest common multiple of 157,153,516,515,315 is 14894461260.
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.
157 x 153 x 516 x 515 x 315 = 2010752270100
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.
157 : 1, 157
153 : 1, 3, 9, 17, 51, 153
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
515 : 1, 5, 103, 515
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,153,516,515,315, is 1.
Now, the common factors can be found like this.
157:157
153:3x 3x 17
516:2x 2x 3x 43
515:5x 103
315:3x 3x 5x 7
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 = 2010752270100/(1x135)
LCM = 2010752270100/135
LCM = 14894461260
Thus, we can understand that the LCM of 157,153,516,515,315 is 14894461260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 153, 516, 515, 315
1. What is the LCM of 157, 153, 516, 515, 315?
Answer: LCM of 157, 153, 516, 515, 315 is 14894461260.
2. How to calculate the LCM of 157, 153, 516, 515, 315?
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 157, 153, 516, 515, 315.
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}.