LCM of 649, 849, 670, 214, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 849, 670, 214, 469 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 649, 849, 670, 214, 469. So, keep reading to learn more.
Given numbers are 649,849,670,214,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,849,670,214,469 is 276508831830.
Find LCM of 649,849,670,214,469 with Prime Factorization
| 2 | 649, 849, 670, 214, 469 |
| 67 | 649, 849, 335, 107, 469 |
| 649, 849, 5, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 649 x 849 x 5 x 107 x 7 = 276508831830
Therefore, the lowest common multiple of 649,849,670,214,469 is 276508831830.
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.
649 x 849 x 670 x 214 x 469 = 37052183465220
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.
649 : 1, 11, 59, 649
849 : 1, 3, 283, 849
670 : 1, 2, 5, 10, 67, 134, 335, 670
214 : 1, 2, 107, 214
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,849,670,214,469, is 1.
Now, the common factors can be found like this.
649:11x 59
849:3x 283
670:2x 5x 67
214:2x 107
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 67 = 134
Therefore, the value for common factors is 134.
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 = 37052183465220/(1x134)
LCM = 37052183465220/134
LCM = 276508831830
Thus, we can understand that the LCM of 649,849,670,214,469 is 276508831830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 849, 670, 214, 469
1. What is the LCM of 649, 849, 670, 214, 469?
Answer: LCM of 649, 849, 670, 214, 469 is 276508831830.
2. How to calculate the LCM of 649, 849, 670, 214, 469?
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 649, 849, 670, 214, 469.
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}.