LCM of 923, 169, 510, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 169, 510, 442 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 923, 169, 510, 442. So, keep reading to learn more.
Given numbers are 923,169,510,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,169,510,442 is 6119490.
Find LCM of 923,169,510,442 with Prime Factorization
| 2 | 923, 169, 510, 442 |
| 13 | 923, 169, 255, 221 |
| 17 | 71, 13, 255, 17 |
| 71, 13, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 71 x 13 x 15 x 1 = 6119490
Therefore, the lowest common multiple of 923,169,510,442 is 6119490.
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.
923 x 169 x 510 x 442 = 35162589540
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.
923 : 1, 13, 71, 923
169 : 1, 13, 169
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,169,510,442, is 1.
Now, the common factors can be found like this.
923:13x 71
169:13x 13
510:2x 3x 5x 17
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 17 = 5746
Therefore, the value for common factors is 5746.
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 = 35162589540/(1x5746)
LCM = 35162589540/5746
LCM = 6119490
Thus, we can understand that the LCM of 923,169,510,442 is 6119490.
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FAQs on LCM of 923, 169, 510, 442
1. What is the LCM of 923, 169, 510, 442?
Answer: LCM of 923, 169, 510, 442 is 6119490.
2. How to calculate the LCM of 923, 169, 510, 442?
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 923, 169, 510, 442.
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}.