LCM of 834, 156, 974, 740, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 156, 974, 740, 289 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 834, 156, 974, 740, 289. So, keep reading to learn more.
Given numbers are 834,156,974,740,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,156,974,740,289 is 564596174220.
Find LCM of 834,156,974,740,289 with Prime Factorization
| 2 | 834, 156, 974, 740, 289 |
| 2 | 417, 78, 487, 370, 289 |
| 3 | 417, 39, 487, 185, 289 |
| 139, 13, 487, 185, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 13 x 487 x 185 x 289 = 564596174220
Therefore, the lowest common multiple of 834,156,974,740,289 is 564596174220.
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.
834 x 156 x 974 x 740 x 289 = 27100616362560
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
974 : 1, 2, 487, 974
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,156,974,740,289, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
156:2x 2x 3x 13
974:2x 487
740:2x 2x 5x 37
289:17x 17
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 3 = 48
Therefore, the value for common factors is 48.
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 = 27100616362560/(1x48)
LCM = 27100616362560/48
LCM = 564596174220
Thus, we can understand that the LCM of 834,156,974,740,289 is 564596174220.
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FAQs on LCM of 834, 156, 974, 740, 289
1. What is the LCM of 834, 156, 974, 740, 289?
Answer: LCM of 834, 156, 974, 740, 289 is 564596174220.
2. How to calculate the LCM of 834, 156, 974, 740, 289?
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 834, 156, 974, 740, 289.
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}.