LCM of 510, 471, 403, 760, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 471, 403, 760, 874 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, 471, 403, 760, 874. So, keep reading to learn more.
Given numbers are 510,471,403,760,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,471,403,760,874 is 56404831080.
Find LCM of 510,471,403,760,874 with Prime Factorization
| 2 | 510, 471, 403, 760, 874 |
| 3 | 255, 471, 403, 380, 437 |
| 5 | 85, 157, 403, 380, 437 |
| 19 | 17, 157, 403, 76, 437 |
| 17, 157, 403, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 17 x 157 x 403 x 4 x 23 = 56404831080
Therefore, the lowest common multiple of 510,471,403,760,874 is 56404831080.
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 471 x 403 x 760 x 874 = 64301507431200
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
471 : 1, 3, 157, 471
403 : 1, 13, 31, 403
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,471,403,760,874, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
471:3x 157
403:13x 31
760:2x 2x 2x 5x 19
874:2x 19x 23
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 3x 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 64301507431200/(1x1140)
LCM = 64301507431200/1140
LCM = 56404831080
Thus, we can understand that the LCM of 510,471,403,760,874 is 56404831080.
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FAQs on LCM of 510, 471, 403, 760, 874
1. What is the LCM of 510, 471, 403, 760, 874?
Answer: LCM of 510, 471, 403, 760, 874 is 56404831080.
2. How to calculate the LCM of 510, 471, 403, 760, 874?
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, 471, 403, 760, 874.
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}.