LCM of 931, 479, 969, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 479, 969, 456 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 931, 479, 969, 456. So, keep reading to learn more.
Given numbers are 931,479,969,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,479,969,456 is 181947192.
Find LCM of 931,479,969,456 with Prime Factorization
| 3 | 931, 479, 969, 456 |
| 19 | 931, 479, 323, 152 |
| 49, 479, 17, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 49 x 479 x 17 x 8 = 181947192
Therefore, the lowest common multiple of 931,479,969,456 is 181947192.
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.
931 x 479 x 969 x 456 = 197048808936
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.
931 : 1, 7, 19, 49, 133, 931
479 : 1, 479
969 : 1, 3, 17, 19, 51, 57, 323, 969
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,479,969,456, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
479:479
969:3x 17x 19
456:2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19 = 1083
Therefore, the value for common factors is 1083.
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 = 197048808936/(1x1083)
LCM = 197048808936/1083
LCM = 181947192
Thus, we can understand that the LCM of 931,479,969,456 is 181947192.
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FAQs on LCM of 931, 479, 969, 456
1. What is the LCM of 931, 479, 969, 456?
Answer: LCM of 931, 479, 969, 456 is 181947192.
2. How to calculate the LCM of 931, 479, 969, 456?
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 931, 479, 969, 456.
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}.