LCM of 902, 116, 495, 205, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 116, 495, 205, 567 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 902, 116, 495, 205, 567. So, keep reading to learn more.
Given numbers are 902,116,495,205,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,116,495,205,567 is 148315860.
Find LCM of 902,116,495,205,567 with Prime Factorization
| 2 | 902, 116, 495, 205, 567 |
| 3 | 451, 58, 495, 205, 567 |
| 3 | 451, 58, 165, 205, 189 |
| 5 | 451, 58, 55, 205, 63 |
| 11 | 451, 58, 11, 41, 63 |
| 41 | 41, 58, 1, 41, 63 |
| 1, 58, 1, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 41 x 1 x 58 x 1 x 1 x 63 = 148315860
Therefore, the lowest common multiple of 902,116,495,205,567 is 148315860.
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.
902 x 116 x 495 x 205 x 567 = 6020140757400
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
116 : 1, 2, 4, 29, 58, 116
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
205 : 1, 5, 41, 205
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,116,495,205,567, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
116:2x 2x 29
495:3x 3x 5x 11
205:5x 41
567:3x 3x 3x 3x 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 3x 3x 5x 11x 41 = 40590
Therefore, the value for common factors is 40590.
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 = 6020140757400/(1x40590)
LCM = 6020140757400/40590
LCM = 148315860
Thus, we can understand that the LCM of 902,116,495,205,567 is 148315860.
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FAQs on LCM of 902, 116, 495, 205, 567
1. What is the LCM of 902, 116, 495, 205, 567?
Answer: LCM of 902, 116, 495, 205, 567 is 148315860.
2. How to calculate the LCM of 902, 116, 495, 205, 567?
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 902, 116, 495, 205, 567.
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}.