LCM of 646, 778, 452, 720, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 778, 452, 720, 282 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 646, 778, 452, 720, 282. So, keep reading to learn more.
Given numbers are 646,778,452,720,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,778,452,720,282 is 480464076240.
Find LCM of 646,778,452,720,282 with Prime Factorization
| 2 | 646, 778, 452, 720, 282 |
| 2 | 323, 389, 226, 360, 141 |
| 3 | 323, 389, 113, 180, 141 |
| 323, 389, 113, 60, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 323 x 389 x 113 x 60 x 47 = 480464076240
Therefore, the lowest common multiple of 646,778,452,720,282 is 480464076240.
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.
646 x 778 x 452 x 720 x 282 = 46124551319040
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
778 : 1, 2, 389, 778
452 : 1, 2, 4, 113, 226, 452
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
282 : 1, 2, 3, 6, 47, 94, 141, 282
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,778,452,720,282, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
778:2x 389
452:2x 2x 113
720:2x 2x 2x 2x 3x 3x 5
282:2x 3x 47
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 3 = 48
Therefore, the value for common factors is 48.
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 = 46124551319040/(2x48)
LCM = 46124551319040/96
LCM = 480464076240
Thus, we can understand that the LCM of 646,778,452,720,282 is 480464076240.
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FAQs on LCM of 646, 778, 452, 720, 282
1. What is the LCM of 646, 778, 452, 720, 282?
Answer: LCM of 646, 778, 452, 720, 282 is 480464076240.
2. How to calculate the LCM of 646, 778, 452, 720, 282?
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 646, 778, 452, 720, 282.
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}.