Find the LCM of 245, 262, 492, 571, 156 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 245, 262, 492, 571, 156. So, keep reading to learn more.
Given numbers are 245,262,492,571,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,262,492,571,156 is 117214663020.
Find LCM of 245,262,492,571,156 with Prime Factorization
2 | 245, 262, 492, 571, 156 |
2 | 245, 131, 246, 571, 78 |
3 | 245, 131, 123, 571, 39 |
245, 131, 41, 571, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 245 x 131 x 41 x 571 x 13 = 117214663020
Therefore, the lowest common multiple of 245,262,492,571,156 is 117214663020.
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.
245 x 262 x 492 x 571 x 156 = 2813151912480
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.
245 : 1, 5, 7, 35, 49, 245
262 : 1, 2, 131, 262
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
571 : 1, 571
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,262,492,571,156, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
262:2x 131
492:2x 2x 3x 41
571:571
156:2x 2x 3x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 2813151912480/(1x24)
LCM = 2813151912480/24
LCM = 117214663020
Thus, we can understand that the LCM of 245,262,492,571,156 is 117214663020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 245, 262, 492, 571, 156?
Answer: LCM of 245, 262, 492, 571, 156 is 117214663020.
2. How to calculate the LCM of 245, 262, 492, 571, 156?
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 245, 262, 492, 571, 156.
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}.