LCM of 513, 760, 300, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 760, 300, 152 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 513, 760, 300, 152. So, keep reading to learn more.
Given numbers are 513,760,300,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,760,300,152 is 102600.
Find LCM of 513,760,300,152 with Prime Factorization
| 2 | 513, 760, 300, 152 |
| 2 | 513, 380, 150, 76 |
| 2 | 513, 190, 75, 38 |
| 3 | 513, 95, 75, 19 |
| 5 | 171, 95, 25, 19 |
| 19 | 171, 19, 5, 19 |
| 9, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 9 x 1 x 5 x 1 = 102600
Therefore, the lowest common multiple of 513,760,300,152 is 102600.
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.
513 x 760 x 300 x 152 = 17778528000
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,760,300,152, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
760:2x 2x 2x 5x 19
300:2x 2x 3x 5x 5
152:2x 2x 2x 19
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 2x 3x 5x 19x 19 = 173280
Therefore, the value for common factors is 173280.
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 = 17778528000/(1x173280)
LCM = 17778528000/173280
LCM = 102600
Thus, we can understand that the LCM of 513,760,300,152 is 102600.
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FAQs on LCM of 513, 760, 300, 152
1. What is the LCM of 513, 760, 300, 152?
Answer: LCM of 513, 760, 300, 152 is 102600.
2. How to calculate the LCM of 513, 760, 300, 152?
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 513, 760, 300, 152.
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}.