LCM of 211, 187, 902, 546, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 187, 902, 546, 282 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 211, 187, 902, 546, 282. So, keep reading to learn more.
Given numbers are 211,187,902,546,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,187,902,546,282 is 41514366894.
Find LCM of 211,187,902,546,282 with Prime Factorization
| 2 | 211, 187, 902, 546, 282 |
| 3 | 211, 187, 451, 273, 141 |
| 11 | 211, 187, 451, 91, 47 |
| 211, 17, 41, 91, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 211 x 17 x 41 x 91 x 47 = 41514366894
Therefore, the lowest common multiple of 211,187,902,546,282 is 41514366894.
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.
211 x 187 x 902 x 546 x 282 = 5479896430008
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.
211 : 1, 211
187 : 1, 11, 17, 187
902 : 1, 2, 11, 22, 41, 82, 451, 902
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,187,902,546,282, is 1.
Now, the common factors can be found like this.
211:211
187:11x 17
902:2x 11x 41
546:2x 3x 7x 13
282:2x 3x 47
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 11 = 132
Therefore, the value for common factors is 132.
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 = 5479896430008/(1x132)
LCM = 5479896430008/132
LCM = 41514366894
Thus, we can understand that the LCM of 211,187,902,546,282 is 41514366894.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 211, 187, 902, 546, 282
1. What is the LCM of 211, 187, 902, 546, 282?
Answer: LCM of 211, 187, 902, 546, 282 is 41514366894.
2. How to calculate the LCM of 211, 187, 902, 546, 282?
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 211, 187, 902, 546, 282.
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}.