LCM of 532, 942, 822, 840, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 942, 822, 840, 192 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 532, 942, 822, 840, 192. So, keep reading to learn more.
Given numbers are 532,942,822,840,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,942,822,840,192 is 2746269120.
Find LCM of 532,942,822,840,192 with Prime Factorization
| 2 | 532, 942, 822, 840, 192 |
| 2 | 266, 471, 411, 420, 96 |
| 2 | 133, 471, 411, 210, 48 |
| 3 | 133, 471, 411, 105, 24 |
| 7 | 133, 157, 137, 35, 8 |
| 19, 157, 137, 5, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 157 x 137 x 5 x 8 = 2746269120
Therefore, the lowest common multiple of 532,942,822,840,192 is 2746269120.
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.
532 x 942 x 822 x 840 x 192 = 66437742551040
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
942 : 1, 2, 3, 6, 157, 314, 471, 942
822 : 1, 2, 3, 6, 137, 274, 411, 822
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,942,822,840,192, is 2.
Now, the common factors can be found like this.
532:2x 2x 7x 19
942:2x 3x 157
822:2x 3x 137
840:2x 2x 2x 3x 5x 7
192:2x 2x 2x 2x 2x 2x 3
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 2x 3x 3x 3x 7 = 12096
Therefore, the value for common factors is 12096.
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 = 66437742551040/(2x12096)
LCM = 66437742551040/24192
LCM = 2746269120
Thus, we can understand that the LCM of 532,942,822,840,192 is 2746269120.
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FAQs on LCM of 532, 942, 822, 840, 192
1. What is the LCM of 532, 942, 822, 840, 192?
Answer: LCM of 532, 942, 822, 840, 192 is 2746269120.
2. How to calculate the LCM of 532, 942, 822, 840, 192?
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 532, 942, 822, 840, 192.
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}.