LCM of 648, 496, 578, 680, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 496, 578, 680, 524 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 648, 496, 578, 680, 524. So, keep reading to learn more.
Given numbers are 648,496,578,680,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,496,578,680,524 is 7605115920.
Find LCM of 648,496,578,680,524 with Prime Factorization
| 2 | 648, 496, 578, 680, 524 |
| 2 | 324, 248, 289, 340, 262 |
| 2 | 162, 124, 289, 170, 131 |
| 17 | 81, 62, 289, 85, 131 |
| 81, 62, 17, 5, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 81 x 62 x 17 x 5 x 131 = 7605115920
Therefore, the lowest common multiple of 648,496,578,680,524 is 7605115920.
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.
648 x 496 x 578 x 680 x 524 = 66194928967680
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
578 : 1, 2, 17, 34, 289, 578
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
524 : 1, 2, 4, 131, 262, 524
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,496,578,680,524, is 2.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
496:2x 2x 2x 2x 31
578:2x 17x 17
680:2x 2x 2x 5x 17
524:2x 2x 131
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 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 66194928967680/(2x4352)
LCM = 66194928967680/8704
LCM = 7605115920
Thus, we can understand that the LCM of 648,496,578,680,524 is 7605115920.
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FAQs on LCM of 648, 496, 578, 680, 524
1. What is the LCM of 648, 496, 578, 680, 524?
Answer: LCM of 648, 496, 578, 680, 524 is 7605115920.
2. How to calculate the LCM of 648, 496, 578, 680, 524?
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 648, 496, 578, 680, 524.
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}.