LCM of 816, 724, 735, 972, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 724, 735, 972, 280 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 816, 724, 735, 972, 280. So, keep reading to learn more.
Given numbers are 816,724,735,972,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,724,735,972,280 is 2931027120.
Find LCM of 816,724,735,972,280 with Prime Factorization
| 2 | 816, 724, 735, 972, 280 |
| 2 | 408, 362, 735, 486, 140 |
| 2 | 204, 181, 735, 243, 70 |
| 3 | 102, 181, 735, 243, 35 |
| 5 | 34, 181, 245, 81, 35 |
| 7 | 34, 181, 49, 81, 7 |
| 34, 181, 1, 81, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 34 x 181 x 1 x 81 x 7 = 2931027120
Therefore, the lowest common multiple of 816,724,735,972,280 is 2931027120.
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.
816 x 724 x 735 x 972 x 280 = 118179013478400
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
724 : 1, 2, 4, 181, 362, 724
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,724,735,972,280, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
724:2x 2x 181
735:3x 5x 7x 7
972:2x 2x 3x 3x 3x 3x 3
280:2x 2x 2x 5x 7
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 3x 3x 5x 7 = 40320
Therefore, the value for common factors is 40320.
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 = 118179013478400/(1x40320)
LCM = 118179013478400/40320
LCM = 2931027120
Thus, we can understand that the LCM of 816,724,735,972,280 is 2931027120.
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FAQs on LCM of 816, 724, 735, 972, 280
1. What is the LCM of 816, 724, 735, 972, 280?
Answer: LCM of 816, 724, 735, 972, 280 is 2931027120.
2. How to calculate the LCM of 816, 724, 735, 972, 280?
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 816, 724, 735, 972, 280.
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}.