LCM of 146, 689, 636, 867, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 689, 636, 867, 211 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 146, 689, 636, 867, 211. So, keep reading to learn more.
Given numbers are 146,689,636,867,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,689,636,867,211 is 36804729156.
Find LCM of 146,689,636,867,211 with Prime Factorization
| 2 | 146, 689, 636, 867, 211 |
| 3 | 73, 689, 318, 867, 211 |
| 53 | 73, 689, 106, 289, 211 |
| 73, 13, 2, 289, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 73 x 13 x 2 x 289 x 211 = 36804729156
Therefore, the lowest common multiple of 146,689,636,867,211 is 36804729156.
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.
146 x 689 x 636 x 867 x 211 = 11703903871608
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.
146 : 1, 2, 73, 146
689 : 1, 13, 53, 689
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
867 : 1, 3, 17, 51, 289, 867
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,689,636,867,211, is 1.
Now, the common factors can be found like this.
146:2x 73
689:13x 53
636:2x 2x 3x 53
867:3x 17x 17
211:211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 53 = 318
Therefore, the value for common factors is 318.
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 = 11703903871608/(1x318)
LCM = 11703903871608/318
LCM = 36804729156
Thus, we can understand that the LCM of 146,689,636,867,211 is 36804729156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 689, 636, 867, 211
1. What is the LCM of 146, 689, 636, 867, 211?
Answer: LCM of 146, 689, 636, 867, 211 is 36804729156.
2. How to calculate the LCM of 146, 689, 636, 867, 211?
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 146, 689, 636, 867, 211.
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}.