LCM of 524, 724, 917, 549, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 724, 917, 549, 468 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 524, 724, 917, 549, 468. So, keep reading to learn more.
Given numbers are 524,724,917,549,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,724,917,549,468 is 4738311396.
Find LCM of 524,724,917,549,468 with Prime Factorization
| 2 | 524, 724, 917, 549, 468 |
| 2 | 262, 362, 917, 549, 234 |
| 3 | 131, 181, 917, 549, 117 |
| 3 | 131, 181, 917, 183, 39 |
| 131 | 131, 181, 917, 61, 13 |
| 1, 181, 7, 61, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 131 x 1 x 181 x 7 x 61 x 13 = 4738311396
Therefore, the lowest common multiple of 524,724,917,549,468 is 4738311396.
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.
524 x 724 x 917 x 549 x 468 = 89383506174144
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.
524 : 1, 2, 4, 131, 262, 524
724 : 1, 2, 4, 181, 362, 724
917 : 1, 7, 131, 917
549 : 1, 3, 9, 61, 183, 549
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,724,917,549,468, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
724:2x 2x 181
917:7x 131
549:3x 3x 61
468:2x 2x 3x 3x 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 3x 3x 131 = 18864
Therefore, the value for common factors is 18864.
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 = 89383506174144/(1x18864)
LCM = 89383506174144/18864
LCM = 4738311396
Thus, we can understand that the LCM of 524,724,917,549,468 is 4738311396.
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FAQs on LCM of 524, 724, 917, 549, 468
1. What is the LCM of 524, 724, 917, 549, 468?
Answer: LCM of 524, 724, 917, 549, 468 is 4738311396.
2. How to calculate the LCM of 524, 724, 917, 549, 468?
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 524, 724, 917, 549, 468.
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}.