LCM of 828, 198, 707, 690, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 198, 707, 690, 803 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 828, 198, 707, 690, 803. So, keep reading to learn more.
Given numbers are 828,198,707,690,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,198,707,690,803 is 2350364940.
Find LCM of 828,198,707,690,803 with Prime Factorization
| 2 | 828, 198, 707, 690, 803 |
| 3 | 414, 99, 707, 345, 803 |
| 3 | 138, 33, 707, 115, 803 |
| 11 | 46, 11, 707, 115, 803 |
| 23 | 46, 1, 707, 115, 73 |
| 2, 1, 707, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 23 x 2 x 1 x 707 x 5 x 73 = 2350364940
Therefore, the lowest common multiple of 828,198,707,690,803 is 2350364940.
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.
828 x 198 x 707 x 690 x 803 = 64221371620560
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
707 : 1, 7, 101, 707
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,198,707,690,803, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
198:2x 3x 3x 11
707:7x 101
690:2x 3x 5x 23
803:11x 73
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 3x 11x 23 = 27324
Therefore, the value for common factors is 27324.
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 = 64221371620560/(1x27324)
LCM = 64221371620560/27324
LCM = 2350364940
Thus, we can understand that the LCM of 828,198,707,690,803 is 2350364940.
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FAQs on LCM of 828, 198, 707, 690, 803
1. What is the LCM of 828, 198, 707, 690, 803?
Answer: LCM of 828, 198, 707, 690, 803 is 2350364940.
2. How to calculate the LCM of 828, 198, 707, 690, 803?
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 828, 198, 707, 690, 803.
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}.