LCM of 992, 168, 420, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 168, 420, 506 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 992, 168, 420, 506. So, keep reading to learn more.
Given numbers are 992,168,420,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,168,420,506 is 26352480.
Find LCM of 992,168,420,506 with Prime Factorization
| 2 | 992, 168, 420, 506 |
| 2 | 496, 84, 210, 253 |
| 2 | 248, 42, 105, 253 |
| 3 | 124, 21, 105, 253 |
| 7 | 124, 7, 35, 253 |
| 124, 1, 5, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 124 x 1 x 5 x 253 = 26352480
Therefore, the lowest common multiple of 992,168,420,506 is 26352480.
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.
992 x 168 x 420 x 506 = 35417733120
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,168,420,506, is 2.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
168:2x 2x 2x 3x 7
420:2x 2x 3x 5x 7
506:2x 11x 23
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 35417733120/(2x672)
LCM = 35417733120/1344
LCM = 26352480
Thus, we can understand that the LCM of 992,168,420,506 is 26352480.
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FAQs on LCM of 992, 168, 420, 506
1. What is the LCM of 992, 168, 420, 506?
Answer: LCM of 992, 168, 420, 506 is 26352480.
2. How to calculate the LCM of 992, 168, 420, 506?
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 992, 168, 420, 506.
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}.