LCM of 496, 836, 554, 620, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 836, 554, 620, 266 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 496, 836, 554, 620, 266. So, keep reading to learn more.
Given numbers are 496,836,554,620,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,836,554,620,266 is 1005022480.
Find LCM of 496,836,554,620,266 with Prime Factorization
| 2 | 496, 836, 554, 620, 266 |
| 2 | 248, 418, 277, 310, 133 |
| 19 | 124, 209, 277, 155, 133 |
| 31 | 124, 11, 277, 155, 7 |
| 4, 11, 277, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 31 x 4 x 11 x 277 x 5 x 7 = 1005022480
Therefore, the lowest common multiple of 496,836,554,620,266 is 1005022480.
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.
496 x 836 x 554 x 620 x 266 = 37885327406080
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
554 : 1, 2, 277, 554
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
266 : 1, 2, 7, 14, 19, 38, 133, 266
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,836,554,620,266, is 2.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
836:2x 2x 11x 19
554:2x 277
620:2x 2x 5x 31
266:2x 7x 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 19x 31 = 18848
Therefore, the value for common factors is 18848.
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 = 37885327406080/(2x18848)
LCM = 37885327406080/37696
LCM = 1005022480
Thus, we can understand that the LCM of 496,836,554,620,266 is 1005022480.
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FAQs on LCM of 496, 836, 554, 620, 266
1. What is the LCM of 496, 836, 554, 620, 266?
Answer: LCM of 496, 836, 554, 620, 266 is 1005022480.
2. How to calculate the LCM of 496, 836, 554, 620, 266?
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 496, 836, 554, 620, 266.
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}.