LCM of 182, 916, 690, 711, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 916, 690, 711, 900 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 182, 916, 690, 711, 900. So, keep reading to learn more.
Given numbers are 182,916,690,711,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,916,690,711,900 is 34078016700.
Find LCM of 182,916,690,711,900 with Prime Factorization
| 2 | 182, 916, 690, 711, 900 |
| 2 | 91, 458, 345, 711, 450 |
| 3 | 91, 229, 345, 711, 225 |
| 3 | 91, 229, 115, 237, 75 |
| 5 | 91, 229, 115, 79, 25 |
| 91, 229, 23, 79, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 91 x 229 x 23 x 79 x 5 = 34078016700
Therefore, the lowest common multiple of 182,916,690,711,900 is 34078016700.
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.
182 x 916 x 690 x 711 x 900 = 73608516072000
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
916 : 1, 2, 4, 229, 458, 916
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
711 : 1, 3, 9, 79, 237, 711
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,916,690,711,900, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
916:2x 2x 229
690:2x 3x 5x 23
711:3x 3x 79
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 73608516072000/(1x2160)
LCM = 73608516072000/2160
LCM = 34078016700
Thus, we can understand that the LCM of 182,916,690,711,900 is 34078016700.
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FAQs on LCM of 182, 916, 690, 711, 900
1. What is the LCM of 182, 916, 690, 711, 900?
Answer: LCM of 182, 916, 690, 711, 900 is 34078016700.
2. How to calculate the LCM of 182, 916, 690, 711, 900?
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 182, 916, 690, 711, 900.
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}.