LCM of 510, 496, 120, 931, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 496, 120, 931, 646 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, 496, 120, 931, 646. So, keep reading to learn more.
Given numbers are 510,496,120,931,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,496,120,931,646 is 117752880.
Find LCM of 510,496,120,931,646 with Prime Factorization
| 2 | 510, 496, 120, 931, 646 |
| 2 | 255, 248, 60, 931, 323 |
| 2 | 255, 124, 30, 931, 323 |
| 3 | 255, 62, 15, 931, 323 |
| 5 | 85, 62, 5, 931, 323 |
| 17 | 17, 62, 1, 931, 323 |
| 19 | 1, 62, 1, 931, 19 |
| 1, 62, 1, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 19 x 1 x 62 x 1 x 49 x 1 = 117752880
Therefore, the lowest common multiple of 510,496,120,931,646 is 117752880.
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 496 x 120 x 931 x 646 = 18256406515200
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
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
931 : 1, 7, 19, 49, 133, 931
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,496,120,931,646, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
496:2x 2x 2x 2x 31
120:2x 2x 2x 3x 5
931:7x 7x 19
646:2x 17x 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 17x 19 = 155040
Therefore, the value for common factors is 155040.
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 = 18256406515200/(1x155040)
LCM = 18256406515200/155040
LCM = 117752880
Thus, we can understand that the LCM of 510,496,120,931,646 is 117752880.
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FAQs on LCM of 510, 496, 120, 931, 646
1. What is the LCM of 510, 496, 120, 931, 646?
Answer: LCM of 510, 496, 120, 931, 646 is 117752880.
2. How to calculate the LCM of 510, 496, 120, 931, 646?
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, 496, 120, 931, 646.
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}.