LCM of 292, 822, 869, 495, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 822, 869, 495, 820 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 292, 822, 869, 495, 820. So, keep reading to learn more.
Given numbers are 292,822,869,495,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,822,869,495,820 is 64138613220.
Find LCM of 292,822,869,495,820 with Prime Factorization
| 2 | 292, 822, 869, 495, 820 |
| 2 | 146, 411, 869, 495, 410 |
| 3 | 73, 411, 869, 495, 205 |
| 5 | 73, 137, 869, 165, 205 |
| 11 | 73, 137, 869, 33, 41 |
| 73, 137, 79, 3, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 73 x 137 x 79 x 3 x 41 = 64138613220
Therefore, the lowest common multiple of 292,822,869,495,820 is 64138613220.
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.
292 x 822 x 869 x 495 x 820 = 84662969450400
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.
292 : 1, 2, 4, 73, 146, 292
822 : 1, 2, 3, 6, 137, 274, 411, 822
869 : 1, 11, 79, 869
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,822,869,495,820, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
822:2x 3x 137
869:11x 79
495:3x 3x 5x 11
820:2x 2x 5x 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 3x 5x 11 = 1320
Therefore, the value for common factors is 1320.
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 = 84662969450400/(1x1320)
LCM = 84662969450400/1320
LCM = 64138613220
Thus, we can understand that the LCM of 292,822,869,495,820 is 64138613220.
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FAQs on LCM of 292, 822, 869, 495, 820
1. What is the LCM of 292, 822, 869, 495, 820?
Answer: LCM of 292, 822, 869, 495, 820 is 64138613220.
2. How to calculate the LCM of 292, 822, 869, 495, 820?
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 292, 822, 869, 495, 820.
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}.