LCM of 459, 824, 754, 572, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 824, 754, 572, 496 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 459, 824, 754, 572, 496. So, keep reading to learn more.
Given numbers are 459,824,754,572,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,824,754,572,496 is 97244628624.
Find LCM of 459,824,754,572,496 with Prime Factorization
| 2 | 459, 824, 754, 572, 496 |
| 2 | 459, 412, 377, 286, 248 |
| 2 | 459, 206, 377, 143, 124 |
| 13 | 459, 103, 377, 143, 62 |
| 459, 103, 29, 11, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 459 x 103 x 29 x 11 x 62 = 97244628624
Therefore, the lowest common multiple of 459,824,754,572,496 is 97244628624.
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.
459 x 824 x 754 x 572 x 496 = 80907531015168
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
824 : 1, 2, 4, 8, 103, 206, 412, 824
754 : 1, 2, 13, 26, 29, 58, 377, 754
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,824,754,572,496, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
824:2x 2x 2x 103
754:2x 13x 29
572:2x 2x 11x 13
496:2x 2x 2x 2x 31
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 13 = 832
Therefore, the value for common factors is 832.
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 = 80907531015168/(1x832)
LCM = 80907531015168/832
LCM = 97244628624
Thus, we can understand that the LCM of 459,824,754,572,496 is 97244628624.
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FAQs on LCM of 459, 824, 754, 572, 496
1. What is the LCM of 459, 824, 754, 572, 496?
Answer: LCM of 459, 824, 754, 572, 496 is 97244628624.
2. How to calculate the LCM of 459, 824, 754, 572, 496?
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 459, 824, 754, 572, 496.
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}.