Find the LCM of 282, 143, 902, 271, 224 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 282, 143, 902, 271, 224. So, keep reading to learn more.
Given numbers are 282,143,902,271,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,143,902,271,224 is 50182964832.
Find LCM of 282,143,902,271,224 with Prime Factorization
2 | 282, 143, 902, 271, 224 |
11 | 141, 143, 451, 271, 112 |
141, 13, 41, 271, 112 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 141 x 13 x 41 x 271 x 112 = 50182964832
Therefore, the lowest common multiple of 282,143,902,271,224 is 50182964832.
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.
282 x 143 x 902 x 271 x 224 = 2208050452608
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
143 : 1, 11, 13, 143
902 : 1, 2, 11, 22, 41, 82, 451, 902
271 : 1, 271
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,143,902,271,224, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
143:11x 13
902:2x 11x 41
271:271
224:2x 2x 2x 2x 2x 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 2x 11 = 44
Therefore, the value for common factors is 44.
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 = 2208050452608/(1x44)
LCM = 2208050452608/44
LCM = 50182964832
Thus, we can understand that the LCM of 282,143,902,271,224 is 50182964832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 143, 902, 271, 224?
Answer: LCM of 282, 143, 902, 271, 224 is 50182964832.
2. How to calculate the LCM of 282, 143, 902, 271, 224?
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 282, 143, 902, 271, 224.
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}.