LCM of 528, 744, 192, 724, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 744, 192, 724, 545 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 528, 744, 192, 724, 545. So, keep reading to learn more.
Given numbers are 528,744,192,724,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,744,192,724,545 is 6458485440.
Find LCM of 528,744,192,724,545 with Prime Factorization
| 2 | 528, 744, 192, 724, 545 |
| 2 | 264, 372, 96, 362, 545 |
| 2 | 132, 186, 48, 181, 545 |
| 2 | 66, 93, 24, 181, 545 |
| 3 | 33, 93, 12, 181, 545 |
| 11, 31, 4, 181, 545 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 31 x 4 x 181 x 545 = 6458485440
Therefore, the lowest common multiple of 528,744,192,724,545 is 6458485440.
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.
528 x 744 x 192 x 724 x 545 = 29760700907520
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
724 : 1, 2, 4, 181, 362, 724
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,744,192,724,545, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
744:2x 2x 2x 3x 31
192:2x 2x 2x 2x 2x 2x 3
724:2x 2x 181
545:5x 109
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 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 29760700907520/(1x4608)
LCM = 29760700907520/4608
LCM = 6458485440
Thus, we can understand that the LCM of 528,744,192,724,545 is 6458485440.
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FAQs on LCM of 528, 744, 192, 724, 545
1. What is the LCM of 528, 744, 192, 724, 545?
Answer: LCM of 528, 744, 192, 724, 545 is 6458485440.
2. How to calculate the LCM of 528, 744, 192, 724, 545?
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 528, 744, 192, 724, 545.
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}.