LCM of 142, 990, 527, 828, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 142, 990, 527, 828, 923 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 142, 990, 527, 828, 923. So, keep reading to learn more.
Given numbers are 142,990,527,828,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,990,527,828,923 is 22151612340.
Find LCM of 142,990,527,828,923 with Prime Factorization
| 2 | 142, 990, 527, 828, 923 |
| 3 | 71, 495, 527, 414, 923 |
| 3 | 71, 165, 527, 138, 923 |
| 71 | 71, 55, 527, 46, 923 |
| 1, 55, 527, 46, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 71 x 1 x 55 x 527 x 46 x 13 = 22151612340
Therefore, the lowest common multiple of 142,990,527,828,923 is 22151612340.
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.
142 x 990 x 527 x 828 x 923 = 56619521141040
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.
142 : 1, 2, 71, 142
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
527 : 1, 17, 31, 527
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,990,527,828,923, is 1.
Now, the common factors can be found like this.
142:2x 71
990:2x 3x 3x 5x 11
527:17x 31
828:2x 2x 3x 3x 23
923:13x 71
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 3x 3x 71 = 2556
Therefore, the value for common factors is 2556.
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 = 56619521141040/(1x2556)
LCM = 56619521141040/2556
LCM = 22151612340
Thus, we can understand that the LCM of 142,990,527,828,923 is 22151612340.
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FAQs on LCM of 142, 990, 527, 828, 923
1. What is the LCM of 142, 990, 527, 828, 923?
Answer: LCM of 142, 990, 527, 828, 923 is 22151612340.
2. How to calculate the LCM of 142, 990, 527, 828, 923?
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 142, 990, 527, 828, 923.
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}.