LCM of 760, 852, 148, 310, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 852, 148, 310, 518 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 760, 852, 148, 310, 518. So, keep reading to learn more.
Given numbers are 760,852,148,310,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,852,148,310,518 is 1299734520.
Find LCM of 760,852,148,310,518 with Prime Factorization
| 2 | 760, 852, 148, 310, 518 |
| 2 | 380, 426, 74, 155, 259 |
| 5 | 190, 213, 37, 155, 259 |
| 37 | 38, 213, 37, 31, 259 |
| 38, 213, 1, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 37 x 38 x 213 x 1 x 31 x 7 = 1299734520
Therefore, the lowest common multiple of 760,852,148,310,518 is 1299734520.
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.
760 x 852 x 148 x 310 x 518 = 15388856716800
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
148 : 1, 2, 4, 37, 74, 148
310 : 1, 2, 5, 10, 31, 62, 155, 310
518 : 1, 2, 7, 14, 37, 74, 259, 518
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,852,148,310,518, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
852:2x 2x 3x 71
148:2x 2x 37
310:2x 5x 31
518:2x 7x 37
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 5x 37 = 5920
Therefore, the value for common factors is 5920.
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 = 15388856716800/(2x5920)
LCM = 15388856716800/11840
LCM = 1299734520
Thus, we can understand that the LCM of 760,852,148,310,518 is 1299734520.
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FAQs on LCM of 760, 852, 148, 310, 518
1. What is the LCM of 760, 852, 148, 310, 518?
Answer: LCM of 760, 852, 148, 310, 518 is 1299734520.
2. How to calculate the LCM of 760, 852, 148, 310, 518?
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 760, 852, 148, 310, 518.
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}.