Find the LCM of 551, 399, 151, 824, 360 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 551, 399, 151, 824, 360. So, keep reading to learn more.
Given numbers are 551,399,151,824,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,399,151,824,360 is 21595651560.
Find LCM of 551,399,151,824,360 with Prime Factorization
2 | 551, 399, 151, 824, 360 |
2 | 551, 399, 151, 412, 180 |
2 | 551, 399, 151, 206, 90 |
3 | 551, 399, 151, 103, 45 |
19 | 551, 133, 151, 103, 15 |
29, 7, 151, 103, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 29 x 7 x 151 x 103 x 15 = 21595651560
Therefore, the lowest common multiple of 551,399,151,824,360 is 21595651560.
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.
551 x 399 x 151 x 824 x 360 = 9847617111360
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.
551 : 1, 19, 29, 551
399 : 1, 3, 7, 19, 21, 57, 133, 399
151 : 1, 151
824 : 1, 2, 4, 8, 103, 206, 412, 824
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,399,151,824,360, is 1.
Now, the common factors can be found like this.
551:19x 29
399:3x 7x 19
151:151
824:2x 2x 2x 103
360:2x 2x 2x 3x 3x 5
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 9847617111360/(1x456)
LCM = 9847617111360/456
LCM = 21595651560
Thus, we can understand that the LCM of 551,399,151,824,360 is 21595651560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 399, 151, 824, 360?
Answer: LCM of 551, 399, 151, 824, 360 is 21595651560.
2. How to calculate the LCM of 551, 399, 151, 824, 360?
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 551, 399, 151, 824, 360.
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}.