LCM of 692, 192, 828, 520, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 192, 828, 520, 252 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 692, 192, 828, 520, 252. So, keep reading to learn more.
Given numbers are 692,192,828,520,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,192,828,520,252 is 1042816320.
Find LCM of 692,192,828,520,252 with Prime Factorization
| 2 | 692, 192, 828, 520, 252 |
| 2 | 346, 96, 414, 260, 126 |
| 2 | 173, 48, 207, 130, 63 |
| 3 | 173, 24, 207, 65, 63 |
| 3 | 173, 8, 69, 65, 21 |
| 173, 8, 23, 65, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 173 x 8 x 23 x 65 x 7 = 1042816320
Therefore, the lowest common multiple of 692,192,828,520,252 is 1042816320.
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.
692 x 192 x 828 x 520 x 252 = 14415892807680
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.
692 : 1, 2, 4, 173, 346, 692
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,192,828,520,252, is 4.
Now, the common factors can be found like this.
692:2x 2x 173
192:2x 2x 2x 2x 2x 2x 3
828:2x 2x 3x 3x 23
520:2x 2x 2x 5x 13
252:2x 2x 3x 3x 7
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 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 14415892807680/(4x3456)
LCM = 14415892807680/13824
LCM = 1042816320
Thus, we can understand that the LCM of 692,192,828,520,252 is 1042816320.
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FAQs on LCM of 692, 192, 828, 520, 252
1. What is the LCM of 692, 192, 828, 520, 252?
Answer: LCM of 692, 192, 828, 520, 252 is 1042816320.
2. How to calculate the LCM of 692, 192, 828, 520, 252?
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 692, 192, 828, 520, 252.
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}.