LCM of 491, 217, 845, 207, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 217, 845, 207, 140 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 491, 217, 845, 207, 140. So, keep reading to learn more.
Given numbers are 491,217,845,207,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,217,845,207,140 is 74546674020.
Find LCM of 491,217,845,207,140 with Prime Factorization
| 5 | 491, 217, 845, 207, 140 |
| 7 | 491, 217, 169, 207, 28 |
| 491, 31, 169, 207, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 491 x 31 x 169 x 207 x 4 = 74546674020
Therefore, the lowest common multiple of 491,217,845,207,140 is 74546674020.
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.
491 x 217 x 845 x 207 x 140 = 2609133590700
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.
491 : 1, 491
217 : 1, 7, 31, 217
845 : 1, 5, 13, 65, 169, 845
207 : 1, 3, 9, 23, 69, 207
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,217,845,207,140, is 1.
Now, the common factors can be found like this.
491:491
217:7x 31
845:5x 13x 13
207:3x 3x 23
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 2609133590700/(1x35)
LCM = 2609133590700/35
LCM = 74546674020
Thus, we can understand that the LCM of 491,217,845,207,140 is 74546674020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 217, 845, 207, 140
1. What is the LCM of 491, 217, 845, 207, 140?
Answer: LCM of 491, 217, 845, 207, 140 is 74546674020.
2. How to calculate the LCM of 491, 217, 845, 207, 140?
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 491, 217, 845, 207, 140.
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}.