Find the LCM of 802, 354, 538, 171, 502 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 802, 354, 538, 171, 502. So, keep reading to learn more.
Given numbers are 802,354,538,171,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,354,538,171,502 is 546321751182.
Find LCM of 802,354,538,171,502 with Prime Factorization
2 | 802, 354, 538, 171, 502 |
3 | 401, 177, 269, 171, 251 |
401, 59, 269, 57, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 401 x 59 x 269 x 57 x 251 = 546321751182
Therefore, the lowest common multiple of 802,354,538,171,502 is 546321751182.
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.
802 x 354 x 538 x 171 x 502 = 13111722028368
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.
802 : 1, 2, 401, 802
354 : 1, 2, 3, 6, 59, 118, 177, 354
538 : 1, 2, 269, 538
171 : 1, 3, 9, 19, 57, 171
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,354,538,171,502, is 1.
Now, the common factors can be found like this.
802:2x 401
354:2x 3x 59
538:2x 269
171:3x 3x 19
502:2x 251
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 = 13111722028368/(1x24)
LCM = 13111722028368/24
LCM = 546321751182
Thus, we can understand that the LCM of 802,354,538,171,502 is 546321751182.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 354, 538, 171, 502?
Answer: LCM of 802, 354, 538, 171, 502 is 546321751182.
2. How to calculate the LCM of 802, 354, 538, 171, 502?
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 802, 354, 538, 171, 502.
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}.