LCM of 528, 723, 820, 235, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 723, 820, 235, 492 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, 723, 820, 235, 492. So, keep reading to learn more.
Given numbers are 528,723,820,235,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,723,820,235,492 is 1226034480.
Find LCM of 528,723,820,235,492 with Prime Factorization
| 2 | 528, 723, 820, 235, 492 |
| 2 | 264, 723, 410, 235, 246 |
| 3 | 132, 723, 205, 235, 123 |
| 5 | 44, 241, 205, 235, 41 |
| 41 | 44, 241, 41, 47, 41 |
| 44, 241, 1, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 44 x 241 x 1 x 47 x 1 = 1226034480
Therefore, the lowest common multiple of 528,723,820,235,492 is 1226034480.
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 723 x 820 x 235 x 492 = 36192537849600
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
723 : 1, 3, 241, 723
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
235 : 1, 5, 47, 235
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,723,820,235,492, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
723:3x 241
820:2x 2x 5x 41
235:5x 47
492:2x 2x 3x 41
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 5x 41 = 29520
Therefore, the value for common factors is 29520.
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 = 36192537849600/(1x29520)
LCM = 36192537849600/29520
LCM = 1226034480
Thus, we can understand that the LCM of 528,723,820,235,492 is 1226034480.
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FAQs on LCM of 528, 723, 820, 235, 492
1. What is the LCM of 528, 723, 820, 235, 492?
Answer: LCM of 528, 723, 820, 235, 492 is 1226034480.
2. How to calculate the LCM of 528, 723, 820, 235, 492?
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, 723, 820, 235, 492.
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}.