LCM of 972, 351, 156, 411, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 351, 156, 411, 886 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 972, 351, 156, 411, 886. So, keep reading to learn more.
Given numbers are 972,351,156,411,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,351,156,411,886 is 766891476.
Find LCM of 972,351,156,411,886 with Prime Factorization
| 2 | 972, 351, 156, 411, 886 |
| 2 | 486, 351, 78, 411, 443 |
| 3 | 243, 351, 39, 411, 443 |
| 3 | 81, 117, 13, 137, 443 |
| 3 | 27, 39, 13, 137, 443 |
| 13 | 9, 13, 13, 137, 443 |
| 9, 1, 1, 137, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 13 x 9 x 1 x 1 x 137 x 443 = 766891476
Therefore, the lowest common multiple of 972,351,156,411,886 is 766891476.
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.
972 x 351 x 156 x 411 x 886 = 19380881381472
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
351 : 1, 3, 9, 13, 27, 39, 117, 351
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
411 : 1, 3, 137, 411
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,351,156,411,886, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
351:3x 3x 3x 13
156:2x 2x 3x 13
411:3x 137
886:2x 443
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 3x 3x 3x 3x 13 = 25272
Therefore, the value for common factors is 25272.
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 = 19380881381472/(1x25272)
LCM = 19380881381472/25272
LCM = 766891476
Thus, we can understand that the LCM of 972,351,156,411,886 is 766891476.
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FAQs on LCM of 972, 351, 156, 411, 886
1. What is the LCM of 972, 351, 156, 411, 886?
Answer: LCM of 972, 351, 156, 411, 886 is 766891476.
2. How to calculate the LCM of 972, 351, 156, 411, 886?
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 972, 351, 156, 411, 886.
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}.