LCM of 403, 812, 528, 792, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 812, 528, 792, 501 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 403, 812, 528, 792, 501. So, keep reading to learn more.
Given numbers are 403,812,528,792,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,812,528,792,501 is 21640771152.
Find LCM of 403,812,528,792,501 with Prime Factorization
| 2 | 403, 812, 528, 792, 501 |
| 2 | 403, 406, 264, 396, 501 |
| 2 | 403, 203, 132, 198, 501 |
| 3 | 403, 203, 66, 99, 501 |
| 11 | 403, 203, 22, 33, 167 |
| 403, 203, 2, 3, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 403 x 203 x 2 x 3 x 167 = 21640771152
Therefore, the lowest common multiple of 403,812,528,792,501 is 21640771152.
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.
403 x 812 x 528 x 792 x 501 = 68557963009536
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.
403 : 1, 13, 31, 403
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,812,528,792,501, is 1.
Now, the common factors can be found like this.
403:13x 31
812:2x 2x 7x 29
528:2x 2x 2x 2x 3x 11
792:2x 2x 2x 3x 3x 11
501:3x 167
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 3x 3x 11 = 3168
Therefore, the value for common factors is 3168.
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 = 68557963009536/(1x3168)
LCM = 68557963009536/3168
LCM = 21640771152
Thus, we can understand that the LCM of 403,812,528,792,501 is 21640771152.
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FAQs on LCM of 403, 812, 528, 792, 501
1. What is the LCM of 403, 812, 528, 792, 501?
Answer: LCM of 403, 812, 528, 792, 501 is 21640771152.
2. How to calculate the LCM of 403, 812, 528, 792, 501?
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 403, 812, 528, 792, 501.
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}.