LCM of 292, 820, 541, 814, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 820, 541, 814, 361 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, 820, 541, 814, 361. So, keep reading to learn more.
Given numbers are 292,820,541,814,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,820,541,814,361 is 4758122169020.
Find LCM of 292,820,541,814,361 with Prime Factorization
| 2 | 292, 820, 541, 814, 361 |
| 2 | 146, 410, 541, 407, 361 |
| 73, 205, 541, 407, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 205 x 541 x 407 x 361 = 4758122169020
Therefore, the lowest common multiple of 292,820,541,814,361 is 4758122169020.
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 820 x 541 x 814 x 361 = 38064977352160
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
541 : 1, 541
814 : 1, 2, 11, 22, 37, 74, 407, 814
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,820,541,814,361, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
820:2x 2x 5x 41
541:541
814:2x 11x 37
361:19x 19
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 2 = 8
Therefore, the value for common factors is 8.
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 = 38064977352160/(1x8)
LCM = 38064977352160/8
LCM = 4758122169020
Thus, we can understand that the LCM of 292,820,541,814,361 is 4758122169020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 820, 541, 814, 361
1. What is the LCM of 292, 820, 541, 814, 361?
Answer: LCM of 292, 820, 541, 814, 361 is 4758122169020.
2. How to calculate the LCM of 292, 820, 541, 814, 361?
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, 820, 541, 814, 361.
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}.