LCM of 364, 536, 496, 862, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 536, 496, 862, 260 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 364, 536, 496, 862, 260. So, keep reading to learn more.
Given numbers are 364,536,496,862,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,536,496,862,260 is 6516961360.
Find LCM of 364,536,496,862,260 with Prime Factorization
| 2 | 364, 536, 496, 862, 260 |
| 2 | 182, 268, 248, 431, 130 |
| 2 | 91, 134, 124, 431, 65 |
| 13 | 91, 67, 62, 431, 65 |
| 7, 67, 62, 431, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 7 x 67 x 62 x 431 x 5 = 6516961360
Therefore, the lowest common multiple of 364,536,496,862,260 is 6516961360.
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.
364 x 536 x 496 x 862 x 260 = 21688447406080
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
536 : 1, 2, 4, 8, 67, 134, 268, 536
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
862 : 1, 2, 431, 862
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,536,496,862,260, is 2.
Now, the common factors can be found like this.
364:2x 2x 7x 13
536:2x 2x 2x 67
496:2x 2x 2x 2x 31
862:2x 431
260:2x 2x 5x 13
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 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 21688447406080/(2x1664)
LCM = 21688447406080/3328
LCM = 6516961360
Thus, we can understand that the LCM of 364,536,496,862,260 is 6516961360.
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FAQs on LCM of 364, 536, 496, 862, 260
1. What is the LCM of 364, 536, 496, 862, 260?
Answer: LCM of 364, 536, 496, 862, 260 is 6516961360.
2. How to calculate the LCM of 364, 536, 496, 862, 260?
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 364, 536, 496, 862, 260.
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}.