Find the LCM of 202, 808, 840, 149, 542 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 202, 808, 840, 149, 542. So, keep reading to learn more.
Given numbers are 202,808,840,149,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,808,840,149,542 is 3425754360.
Find LCM of 202,808,840,149,542 with Prime Factorization
2 | 202, 808, 840, 149, 542 |
2 | 101, 404, 420, 149, 271 |
2 | 101, 202, 210, 149, 271 |
101 | 101, 101, 105, 149, 271 |
1, 1, 105, 149, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 1 x 1 x 105 x 149 x 271 = 3425754360
Therefore, the lowest common multiple of 202,808,840,149,542 is 3425754360.
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.
202 x 808 x 840 x 149 x 542 = 11072038091520
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.
202 : 1, 2, 101, 202
808 : 1, 2, 4, 8, 101, 202, 404, 808
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
149 : 1, 149
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,808,840,149,542, is 1.
Now, the common factors can be found like this.
202:2x 101
808:2x 2x 2x 101
840:2x 2x 2x 3x 5x 7
149:149
542:2x 271
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 2x 101 = 3232
Therefore, the value for common factors is 3232.
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 = 11072038091520/(1x3232)
LCM = 11072038091520/3232
LCM = 3425754360
Thus, we can understand that the LCM of 202,808,840,149,542 is 3425754360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 202, 808, 840, 149, 542?
Answer: LCM of 202, 808, 840, 149, 542 is 3425754360.
2. How to calculate the LCM of 202, 808, 840, 149, 542?
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 202, 808, 840, 149, 542.
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}.