LCM of 281, 528, 745, 945, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 528, 745, 945, 363 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 281, 528, 745, 945, 363. So, keep reading to learn more.
Given numbers are 281,528,745,945,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,528,745,945,363 is 76600172880.
Find LCM of 281,528,745,945,363 with Prime Factorization
| 3 | 281, 528, 745, 945, 363 |
| 5 | 281, 176, 745, 315, 121 |
| 11 | 281, 176, 149, 63, 121 |
| 281, 16, 149, 63, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 281 x 16 x 149 x 63 x 11 = 76600172880
Therefore, the lowest common multiple of 281,528,745,945,363 is 76600172880.
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.
281 x 528 x 745 x 945 x 363 = 37917085575600
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.
281 : 1, 281
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
745 : 1, 5, 149, 745
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,528,745,945,363, is 1.
Now, the common factors can be found like this.
281:281
528:2x 2x 2x 2x 3x 11
745:5x 149
945:3x 3x 3x 5x 7
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 37917085575600/(1x495)
LCM = 37917085575600/495
LCM = 76600172880
Thus, we can understand that the LCM of 281,528,745,945,363 is 76600172880.
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FAQs on LCM of 281, 528, 745, 945, 363
1. What is the LCM of 281, 528, 745, 945, 363?
Answer: LCM of 281, 528, 745, 945, 363 is 76600172880.
2. How to calculate the LCM of 281, 528, 745, 945, 363?
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 281, 528, 745, 945, 363.
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}.