Find the LCM of 292, 786, 550, 368, 506 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, 786, 550, 368, 506. So, keep reading to learn more.
Given numbers are 292,786,550,368,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,786,550,368,506 is 2903326800.
Find LCM of 292,786,550,368,506 with Prime Factorization
2 | 292, 786, 550, 368, 506 |
2 | 146, 393, 275, 184, 253 |
11 | 73, 393, 275, 92, 253 |
23 | 73, 393, 25, 92, 23 |
73, 393, 25, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 73 x 393 x 25 x 4 x 1 = 2903326800
Therefore, the lowest common multiple of 292,786,550,368,506 is 2903326800.
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 786 x 550 x 368 x 506 = 23505333772800
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,786,550,368,506, is 2.
Now, the common factors can be found like this.
292:2x 2x 73
786:2x 3x 131
550:2x 5x 5x 11
368:2x 2x 2x 2x 23
506:2x 11x 23
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 11x 23 = 4048
Therefore, the value for common factors is 4048.
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 = 23505333772800/(2x4048)
LCM = 23505333772800/8096
LCM = 2903326800
Thus, we can understand that the LCM of 292,786,550,368,506 is 2903326800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 292, 786, 550, 368, 506?
Answer: LCM of 292, 786, 550, 368, 506 is 2903326800.
2. How to calculate the LCM of 292, 786, 550, 368, 506?
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, 786, 550, 368, 506.
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}.